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RD Sharma Solutions for Class 8 Chapter 25 Data Handling - III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

RD Sharma Solutions for Class 8 Chapter 25 Data Handling - III (Pictorial Representation of Data as Pie Charts or Circle Graphs) Free Online

EXERCISE 25.1 PAGE NO: 25.12
1. The number of hours, spent by a school boy on different activities in a working day, is given below:
ActivitiesSleepSchoolHomePlayOthersTotal
Number of Hours8742324
Present the information in the form of a pie-chart.
Solution:
Here, total number of hours = 24
So,
The central angle = (component value/24) × 360°
The central angle for each activity will be calculated as follows
ActivityNumber of HoursCentral Angle
Sleep88/24 × 360° = 120o
School77/24 × 360° = 105o
Home44/24 × 360° = 60o
Play22/24 × 360° = 30o
Others33/24 × 360° = 45o
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Here, it is 120o. Construct a sector of central angle 120o whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 1
2. Employees of a company have been categorized according to their religions as given below:
ReligiousHinduMuslimSikhChristianTotal
Number of Workers4203002251051080
Draw a pie-chart to represent the above information.
Solution:
Here, total number of workers = 1080
So,
The central angle = (component value/1080) × 360°
The central angle for each activity will be calculated as follows
ReligiousNumber of WorkersCentral Angle
Hindu420420/1080 × 360° = 144
Muslim300300/1080 × 360° = 102.9
Sikh225225/1080 × 360° = 77.14
Christian105105/1080 × 360° = 36
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 2
3. In one day the sales (in rupees) of different items of a baker’s shop are given below:
ItemsOrdinary breadFruit breadCakes and PastriesBiscuitsOthersTotal
Sales (in Rs)260401006020780
Draw a pie-chart to represent the above information.
Solution:
Here, total sales = 780
So,
The central angle = (component value/780) × 360°
The central angle for each activity will be calculated as follows
ItemsSales (in Rs)Central Angle
Ordinary bread260260/780 × 360° = 195
Fruit bread4040/780 × 360° = 30
Cakes and Pastries100100/780 × 360° = 75
Biscuits6060/780 × 360° = 45
Others2020/780 × 360° = 15
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 3
4. The following data shows the expenditure of a person on different items during a month. Represent the data by a pie-chart.
Items of expenditureRentEducationFoodClothingOthers
Amount (in Rs)27001800240015002400
Solution:
Here, total amount = Rs 10800
So,
The central angle = (component value/10800) × 360°
The central angle for each activity will be calculated as follows
Items of expenditureAmount (in Rs)Central angle
Rent27002700/10800 × 360° = 90
Education18001800/10800 × 360° = 60
Food24002400/10800 × 360° = 80
Clothing15001500/10800 × 360° = 50
Others24002400/10800 × 360° = 80
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 4
5. The percentages of various categories of workers in a state are given in the following table.
CategoriesCultivatorsAgricultural LabourersIndustrial WorkersCommercial WorkersOthers
% of workers402512.51012.5
Present the information in the form of a pie-chart.
Solution:
Here, total % of workers = 100%
So,
The central angle = (component value/100) × 360°
The central angle for each activity will be calculated as follows
Categories% of workersCentral angle
Cultivators40400/100 × 360° = 144
Agricultural Labourers2525/100 × 360° = 90
Industrial Workers12.512.5/100 × 360° = 45
Commercial Workers1010/100 × 360° = 36
Others12.512.5/100 × 360° = 45
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 5
6. The following table shows the expenditure incurred by a publisher in publishing a book:
ItemsPapersPrintingBindingAdvertisingMiscellaneous
Expenditure (in %)35%20%10%5%30%
Present the above data in the form of pie-chart.
Solution:
Here, total Expenditure (in %) = 100%
So,
The central angle = (component value/100) × 360°
The central angle for each activity will be calculated as follows
ItemsExpenditure (in %)Central angle
Papers35%35/100 × 360° = 126
Printing20%20/100 × 360° = 72
Binding10%10/100 × 360° = 36
Advertising5%5/100 × 360° = 18
Miscellaneous30%30/100 × 360° = 108
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 6
7. Percentage of the different products of a village in a particular district are given below. Draw a pie chart representing this information.
ItemsWheatPulsesJwarGroundnutsVegetablesTotal
%125/3125/625/250/325/3100
Solution:
Here, total % = 100%
So,
The central angle = (component value/100) × 360°
The central angle for each activity will be calculated as follows
Items%Central angle
Wheat125/3(125/3)/100 × 360° = 150
Pulses125/6(125/6)/100 × 360° = 75
Jwar25/2(25/2)/100 × 360° = 45
Groundnuts50/3(50/3)/100 × 360° = 60
Vegetables25/3(25/3)/100 × 360° = 30
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 7
8. Draw a pie diagram for the following data of expenditure pattern in a family:
ItemsFoodClothingRentEducationUnforeseen eventsMedicine
Expenditure (in %)40%20%10%10%15%5%
Solution:
Here, total % = 100%
So,
The central angle = (component value/100) × 360°
The central angle for each activity will be calculated as follows
ItemsExpenditure (in %)Central angle
Food40%40/100 × 360° = 144
Clothing20%20/100 × 360° = 72
Rent10%10/100 × 360° = 36
Education10%10/100 × 360° = 36
Unforeseen events15%15/100 × 360° = 54
Medicines5%5/100 × 360° = 18
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 8
9. Draw a pie diagram of the areas of continents of the world given in the following table:
ContinentsAsiaU.S.S.RAfricaEuropeNorth AmericaSouth AmericaAustralia
Area (in million sq.km)26.920.530.34.924.317.98.5
Solution:
Here, total Area = 133.3 million sq.km
So,
The central angle = (component value/133.3) × 360°
The central angle for each activity will be calculated as follows
ContinentsArea (in million sq.km)Central angle
Asia26.926.9/133.3 × 360° = 72.6
U.S.S.R20.520.5/133.3 × 360° = 55.4
Africa30.330.3/133.3 × 360° = 81.8
Europe4.94.9/133.3 × 360° = 13.2
North America24.324.3/133.3 × 360° = 65.6
South America17.917.9/133.3 × 360° = 48.3
Australia8.58.5/133.3 × 360° = 23
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 9
10. The following data gives the amount spent on the construction of a house. Draw a pie diagram.
ItemsCementTimberBricksLaboursteelMiscellaneous
Expenditure (in thousand Rs)603045754545
Solution:
Here, total Expenditure = 300 thousand rupees
So,
The central angle = (component value/300) × 360°
The central angle for each activity will be calculated as follows
ItemsExpenditure (in thousand Rs)Central angle
Cement6060/300 × 360° = 72
Timber3030/300 × 360° = 36
Bricks4545/300 × 360° = 54
Labour7575/300 × 360° = 90
Steel4545/300 × 360° = 54
Miscellaneous4545/300 × 360° = 54
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 10
11. The following table shows how a student spends his pocket money during the course of a month. Represent it by a pie diagram.
ItemsFoodEntertainmentOther ExpenditureSavings
Expenditure40%25%20%15%
Solution:
Here, total Expenditure = 100%
So,
The central angle = (component value/100) × 360°
The central angle for each activity will be calculated as follows
ItemsExpenditureCentral angle
Food40%40/100 × 360° = 144
Entertainment25%25/100 × 360° = 90
Other Expenditure20%20/100 × 360° = 72
Savings15%15/100 × 360° = 54
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 11
12. Represent the following data by a pie diagram:
Items of expenditureExpenditure
Family A Family B
Food4000 6400
Clothing2500 480
Rent1500 3200
Education400 1000
Miscellaneous1600 600
Total10000 16000
Solution:
Here, the total expenditure of family A = 10000 and family B = 11680

The central angle for family A = (component value/10000) × 360°
The central angle for family B = (component value/11680) × 360°
Hence, the central angle for each activity will be calculated as follows
Items of expenditureExpenditure of Family AExpenditure of
Family B
Central angle of Family ACentral angle of
Family B
Food400064004000/10000 × 360° = 1446400/11680 × 360° = 197.3
Clothing25004802500/10000 × 360° = 90480/11680 × 360° = 14.8
Rent150032001500/10000 × 360° = 543200/11680 × 360° = 98.6
Education4001000400/10000 × 360° = 14.41000/11680 × 360° = 30.8
Miscellaneous16006001600/10000 × 360° = 57.6600/11680 × 360° = 18.5
Now, the pie-chart for Family A and Family B can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 12
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 13
13. Following data gives the break up of the cost of production of a book:
PrintingPaperBinding chargesAdvertisementRoyaltyMiscellaneous
30%15%15%20%10%15%
Draw a pie-diagram depicting the above information.
Solution:
Here, total cost of production of book = 105%
So,
The central angle = (component value/105) × 360°
The central angle for each activity will be calculated as follows
ItemsExpenditureCentral angle
Printing30%30/105 × 360° = 102.9
Paper15%15/105 × 360° = 51.4
Binding charges15%15/105 × 360° = 51.4
Advertisement20%20/105 × 360° = 68.6
Royalty10%10/105 × 360° = 34.3
Miscellaneous15%15/105 × 360° = 51.4
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 14
14. Represent the following data with the help of pie diagram:
ItemsWheatRiceTea
Production (in metric tons)32601840900
Solution:
Here, total cost of production = 6000 metric tons
So,
The central angle = (component value/6000) × 360°
The central angle for each activity will be calculated as follows
ItemsProductionCentral angle
Wheat32603260/6000 × 360° = 195.6
Rice18401840/6000 × 360° = 110.4
Tea900900/6000 × 360° = 54
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 15
15. Draw a pie-diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:
12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7
Solution:
Here, total amount = 100.1%
So,
The central angle = (component value/100.1) × 360°
The central angle for each activity will be calculated as follows
ClassAmount (in %)Central angle
112.612.6/100.1 × 360° = 45.3
218.218.2/100.1 × 360° = 65.5
317.517.5/100.1 × 360° = 62.9
420.320.3/100.1 × 360° = 73
52.82.8/100.1 × 360° = 10.1
64.24.2/100.1 × 360° = 15.1
79.89.8/100.1 × 360° = 35.2
814.714.7/100.1 × 360° = 52.9
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 16
16. Following is the break up of the expenditure of a family on different items of consumption:
ItemsFoodClothingRentEducationFuel etc.MedicineMiscellaneous
Expenditure (in Rs)160020060015010080270
Draw a pie-diagram to represent the above data.
Solution:
Here, total expenditure = 3000 Rs
So,
The central angle = (component value/3000) × 360°
The central angle for each activity will be calculated as follows
ItemsExpenditure (in Rs)Central angle
Food16001600/3000 × 360° = 192
Clothing200200/3000 × 360° = 24
Rent600600/3000 × 360° = 72
Education150150/3000 × 360° = 18
Fuel100100/3000 × 360° = 12
Medicine8080/3000 × 360° = 9.6
Miscellaneous270270/3000 × 360° = 32.4
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 17
17. Draw a pie diagram for the following data of the investment pattern in a five years plan:
AgricultureIrrigation and PowerSmall IndustriesTransportSocial serviceMiscellaneous
14%16%29%17%16%8%
Solution:
Here, total investment = 100%
So,
The central angle = (component value/100) × 360°
The central angle for each activity will be calculated as follows
DataInvestmentCentral angle
Agriculture14%14/100 × 360° = 50.4
Irrigation and Power16%16/100 × 360° = 57.6
Small Industries29%29/100 × 360° = 104.4
Transport17%17/100 × 360° = 61.2
Social service16%16/100 × 360° = 57.6
Miscellaneous8%8/100 × 360° = 28.8
Now, the pie-chart can be constructed by using the given data.
Steps to construct:
Step 1: Draw the circle of an appropriate radius.
Step 2: Draw a vertical radius anywhere inside the circle.
Step 3: Choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.
Step 4: Construct other sectors representing other values in clockwise direction in descending order of magnitudes of their central angles.
Step 5: Shade the sectors so obtained by different colours and label them as shown in below figure.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 18
EXERCISE 25.2 PAGE NO: 25.21
1. The pie chart given in Fig. 25.17 represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs. 112500, find the following:
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 19
(i) Total cost of the flat.
(ii) Expenditure incurred on labour.
Solution:
(i) By using the formula,
Expenditure incurred on cement = (central angle × Total cost) / 360°
Total cost of the flat = (360° × 112500) / 75o = Rs 540000

(ii) By using the formula,
Expenditure incurred on labour = (central angle × Total cost) / 360°
= (100° × 540000) / 360o = Rs 150000
2. The pie-chart given in Fig. 25.18 shows the annual agricultural production of an Indian state. If the total production of all the commodities is 81000 tonnes, find the production (in tonnes) of
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 20
(i) Wheat (ii) Sugar (iii) Rice (iv) Maize (v) Gram
Solution:
We know that,
Total Production = 81000 Tonnes.
So,
(i) Production of wheat = (central angle of wheat × Total production) / 360°
= (120o × 81000) / 360o = 27000 tonnes
(ii) Production of sugar = (central angle of sugar × Total production) / 360°
= (100o × 81000) / 360o = 22500 tonnes
(iii) Production of rice = (central angle of rice × Total production) / 360°
= (60o × 81000) / 360o = 13500 tonnes
(iv) Production of maize = (central angle of maize × Total production) / 360°
= (30o × 81000) / 360o = 6750 tonnes
(v) Production of gram = (central angle of gram × Total production) / 360°
= (50o × 81000) / 360o = 11250 tonnes
3. The following pie chart shows the number of students admitted in different faculties of a college. If 1000 students are admitted in Science answer the following :
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 21
(i) What is the total number of students?
(ii) What is the ratio of students in science and arts?
Solution:
(i) 
Students in science = (central angle × Total students) / 360°
1000 = (100o × Total students) / 360o
Total students = (1000 × 360o)/100o
= 3600 students
∴ Total number of students are 3600.
(ii) Students in arts = (central angle of arts × Total students) / 360°
= (120o × 3600) / 360o = 1200 students
∴ Ratio of students in science and arts is 1000:1200 = 5:6
4. In Fig. 25.20, the pie-chart shows the marks obtained by a student in an examination. If the student secures 440 marks in all, calculate his marks in each of the given subjects.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 22
Solution:
Marks secured in mathematics = (central angle of maths × Total score secured) / 360°
= (108 × 440) / 360o = 132 marks

Marks secured in science = (central angle of science × Total score secured) / 360°
= (81 × 440) / 360o = 99 marks
Marks secured in English = (central angle of English × Total score secured) / 360°
= (72 × 440) / 360o = 88 marks
Marks secured in Hindi = (central angle of Hindi × Total score secured) / 360°
= (54 × 440) / 360o = 66 marks
Marks secured in social science = (central angle of social science × Total score secured) / 360°
= (45 × 440) / 360o = 55 marks
SubjectMathematicsScienceEnglishHindiSocial Science
Marks secured13299886655
5. In Fig. 25.21, the pie chart shows the marks obtained by a student in various subjects. If the student scored 135 marks in mathematics, find the total marks in all the subjects. Also, find his score in individual subjects.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 23
Solution:
Let us calculate the total marks.
So,
Marks scored in mathematics = (central angle of maths × Total marks) / 360°
135 = (90 × Total marks) / 360o
Total marks = (135 × 360)/90
= 540 marks
Now,
Marks scored in Hindi = (central angle of Hindi × Total marks) / 360°
= (60 × 540) / 360o
= 90 marks
Marks scored in Science = (central angle of Science × Total marks) / 360°
= (76 × 540) / 360o
= 114 marks
Marks scored in Social science = (central angle of Social science × Total marks) / 360°
= (72 × 540) / 360o
= 108 marks
Marks scored in English = (central angle of English × Total marks) / 360°
= (62 × 540) / 360o
= 93 marks
SubjectMathematicsScienceSocial scienceEnglishHindi
Marks secured1351141089390
6. The following pie chart shows the monthly expenditure of Shikha on various items. If she spends Rs 16000 per month, answer the following questions:
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 24
(i) How much does she spend on rent?
(ii) How much does she spend on education?
(iii) What is the ratio of expenses on food and rent?
Solution:
(i) Money spent on rent = (central angle of rent × Total money spent) / 360°
= (81 × 16000) / 360o
= Rs 3600
(ii) Money spent on education = (central angle of education × Total money spent) / 360°
= (36 × 16000) / 360o
= Rs 1600
(iii) Money spent on food = (central angle of food × Total money spent) / 360°
= (135 × 16000) / 360o
= Rs 6000
Ratio of expenses on food and rent is Rs 6000/Rs3600 = 5/3
Ratio = 5:3
7. The pie chart (as shown in the figure 25.23) represents the amount spent on different sports by a sports club in a year. If the total money spent by the club on sports is Rs 108000, find the amount spent on each sport.
RD Sharma Solutions for Class 8 Maths Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs) image - 25
Solution:
Money spent on cricket = (central angle of cricket × Total money spent) / 360°
= (150 × 108000) / 360o
= Rs 45000
Money spent on football = (central angle of football × Total money spent) / 360°
= (60 × 108000) / 360o
= Rs 18000
Money spent on tennis = (central angle of tennis × Total money spent) / 360°
= (50 × 108000) / 360o
= Rs 15000
Money spent on hockey = (central angle of cricket × Total money spent) / 360°
= (100 × 108000) / 360o
= Rs 30000
Courtesy : CBSE