RD Sharma Solutions for Class 8 Chapter 25 Data Handling - III (Pictorial Representation of Data as Pie Charts or Circle Graphs) Exercise 25.1

RD Sharma Class 8 Solutions Chapter 25 Ex 25.1 PDF Free Download

In Exercise 25.1 of Chapter 25, we shall discuss concepts related to pie-diagrams or pie-charts and construction of pie-diagrams. Students having any difficulties in solving the problems can access RD Sharma Class 8 Solutions. Our experts have solved the problems in a simple and easily understandable manner, which any student can understand and thereby, score well in their exams. To access the solutions of RD Sharma Class 8 Maths Chapter 25, students can download the pdf from the links given below.

Download the Pdf of RD Sharma for Class 8 Maths Exercise 25.1 Chapter 25 Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

 

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rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
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rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1
rd sharma class 8 maths chapter 25 ex 1

 

Access another exercise of RD Sharma Class 8 Maths Solutions Chapter 25 Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

Exercise 25.2 Solutions

Access answers to RD Sharma Maths Solutions For Class 8 Exercise 25.1 Chapter 25 Data Handling – III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

1. The number of hours, spent by a school boy on different activities in a working day, is given below:

Activities

Sleep

School

Home

Play

Others

Total

Number of Hours

8

7

4

2

3

24

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

Activity

Number of Hours

Central Angle

Sleep

8

8/24 × 360° = 120o

School

7

7/24 × 360° = 105o

Home

4

4/24 × 360° = 60o

Play

2

2/24 × 360° = 30o

Others

3

3/24 × 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:

Religious

Hindu

Muslim

Sikh

Christian

Total

Number of Workers

420

300

225

105

1080

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

Religious

Number of Workers

Central Angle

Hindu

420

420/1080 × 360° = 144

Muslim

300

300/1080 × 360° = 102.9

Sikh

225

225/1080 × 360° = 77.14

Christian

105

105/1080 × 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:

Items

Ordinary bread

Fruit bread

Cakes and Pastries

Biscuits

Others

Total

Sales (in Rs)

260

40

100

60

20

780

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

Items

Sales (in Rs)

Central Angle

Ordinary bread

260

260/780 × 360° = 195

Fruit bread

40

40/780 × 360° = 30

Cakes and Pastries

100

100/780 × 360° = 75

Biscuits

60

60/780 × 360° = 45

Others

20

20/780 × 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 expenditure

Rent

Education

Food

Clothing

Others

Amount (in Rs)

2700

1800

2400

1500

2400

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 expenditure

Amount (in Rs)

Central angle

Rent

2700

2700/10800 × 360° = 90

Education

1800

1800/10800 × 360° = 60

Food

2400

2400/10800 × 360° = 80

Clothing

1500

1500/10800 × 360° = 50

Others

2400

2400/10800 × 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.

Categories

Cultivators

Agricultural Labourers

Industrial Workers

Commercial Workers

Others

% of workers

40

25

12.5

10

12.5

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 workers

Central angle

Cultivators

40

400/100 × 360° = 144

Agricultural Labourers

25

25/100 × 360° = 90

Industrial Workers

12.5

12.5/100 × 360° = 45

Commercial Workers

10

10/100 × 360° = 36

Others

12.5

12.5/100 × 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:

Items

Papers

Printing

Binding

Advertising

Miscellaneous

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

Items

Expenditure (in %)

Central angle

Papers

35%

35/100 × 360° = 126

Printing

20%

20/100 × 360° = 72

Binding

10%

10/100 × 360° = 36

Advertising

5%

5/100 × 360° = 18

Miscellaneous

30%

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.

Items

Wheat

Pulses

Jwar

Groundnuts

Vegetables

Total

%

125/3

125/6

25/2

50/3

25/3

100

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

Wheat

125/3

(125/3)/100 × 360° = 150

Pulses

125/6

(125/6)/100 × 360° = 75

Jwar

25/2

(25/2)/100 × 360° = 45

Groundnuts

50/3

(50/3)/100 × 360° = 60

Vegetables

25/3

(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:

Items

Food

Clothing

Rent

Education

Unforeseen events

Medicine

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

Items

Expenditure (in %)

Central angle

Food

40%

40/100 × 360° = 144

Clothing

20%

20/100 × 360° = 72

Rent

10%

10/100 × 360° = 36

Education

10%

10/100 × 360° = 36

Unforeseen events

15%

15/100 × 360° = 54

Medicines

5%

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:

Continents

Asia

U.S.S.R

Africa

Europe

North America

South America

Australia

Area (in million sq.km)

26.9

20.5

30.3

4.9

24.3

17.9

8.5

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

Continents

Area (in million sq.km)

Central angle

Asia

26.9

26.9/133.3 × 360° = 72.6

U.S.S.R

20.5

20.5/133.3 × 360° = 55.4

Africa

30.3

30.3/133.3 × 360° = 81.8

Europe

4.9

4.9/133.3 × 360° = 13.2

North America

24.3

24.3/133.3 × 360° = 65.6

South America

17.9

17.9/133.3 × 360° = 48.3

Australia

8.5

8.5/133.3 × 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.

Items

Cement

Timber

Bricks

Labour

steel

Miscellaneous

Expenditure (in thousand Rs)

60

30

45

75

45

45

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

Items

Expenditure (in thousand Rs)

Central angle

Cement

60

60/300 × 360° = 72

Timber

30

30/300 × 360° = 36

Bricks

45

45/300 × 360° = 54

Labour

75

75/300 × 360° = 90

Steel

45

45/300 × 360° = 54

Miscellaneous

45

45/300 × 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.

Items

Food

Entertainment

Other Expenditure

Savings

Expenditure

40%

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

Items

Expenditure

Central angle

Food

40%

40/100 × 360° = 144

Entertainment

25%

25/100 × 360° = 90

Other Expenditure

20%

20/100 × 360° = 72

Savings

15%

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 expenditure

Expenditure

Family A Family B

Food

4000 6400

Clothing

2500 480

Rent

1500 3200

Education

400 1000

Miscellaneous

1600 600

Total

10000 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 expenditure

Expenditure of Family A

Expenditure of

Family B

Central angle of Family A

Central angle of

Family B

Food

4000

6400

4000/10000 × 360° = 144

6400/11680 × 360° = 197.3

Clothing

2500

480

2500/10000 × 360° = 90

480/11680 × 360° = 14.8

Rent

1500

3200

1500/10000 × 360° = 54

3200/11680 × 360° = 98.6

Education

400

1000

400/10000 × 360° = 14.4

1000/11680 × 360° = 30.8

Miscellaneous

1600

600

1600/10000 × 360° = 57.6

600/11680 × 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:

Printing

Paper

Binding charges

Advertisement

Royalty

Miscellaneous

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

Items

Expenditure

Central angle

Printing

30%

30/105 × 360° = 102.9

Paper

15%

15/105 × 360° = 51.4

Binding charges

15%

15/105 × 360° = 51.4

Advertisement

20%

20/105 × 360° = 68.6

Royalty

10%

10/105 × 360° = 34.3

Miscellaneous

15%

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:

Items

Wheat

Rice

Tea

Production (in metric tons)

3260

1840

900

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

Items

Production

Central angle

Wheat

3260

3260/6000 × 360° = 195.6

Rice

1840

1840/6000 × 360° = 110.4

Tea

900

900/6000 × 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

Class

Amount (in %)

Central angle

1

12.6

12.6/100.1 × 360° = 45.3

2

18.2

18.2/100.1 × 360° = 65.5

3

17.5

17.5/100.1 × 360° = 62.9

4

20.3

20.3/100.1 × 360° = 73

5

2.8

2.8/100.1 × 360° = 10.1

6

4.2

4.2/100.1 × 360° = 15.1

7

9.8

9.8/100.1 × 360° = 35.2

8

14.7

14.7/100.1 × 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:

Items

Food

Clothing

Rent

Education

Fuel etc.

Medicine

Miscellaneous

Expenditure (in Rs)

1600

200

600

150

100

80

270

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

Items

Expenditure (in Rs)

Central angle

Food

1600

1600/3000 × 360° = 192

Clothing

200

200/3000 × 360° = 24

Rent

600

600/3000 × 360° = 72

Education

150

150/3000 × 360° = 18

Fuel

100

100/3000 × 360° = 12

Medicine

80

80/3000 × 360° = 9.6

Miscellaneous

270

270/3000 × 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:

Agriculture

Irrigation and Power

Small Industries

Transport

Social service

Miscellaneous

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

Data

Investment

Central angle

Agriculture

14%

14/100 × 360° = 50.4

Irrigation and Power

16%

16/100 × 360° = 57.6

Small Industries

29%

29/100 × 360° = 104.4

Transport

17%

17/100 × 360° = 61.2

Social service

16%

16/100 × 360° = 57.6

Miscellaneous

8%

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

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