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

The total expenditure = 300 thousand rupees . The central angle = Component value Sum of the component values × 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 ° Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

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 %

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 ° Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

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 11680

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 ° Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

Following data gives the break up of the cost of production of book: Printing Paper Binding Charges Advertisment Royalty Miscellaneous 30 % 15 % 15 % 20 % 10 % 15 % Draw a pie- diagram depicting the above information.

We know: Central angle of a component = C o m p o n e n t v a l u e S u m o f c o m p o n e n t v a l u e s × 360 ° Here, total expenditures = 105 % Thus, the central angle for each component can be calculated as follows: Item Cost of production (in % ) Sector 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 ° Total : 105 % Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

Represent the following data with the help of a pie-diagram: Items Wheat Rice Tea Production (in metric tons ) 3260 1840 900

We know that, Central angle of a component = Component value Sum of the component values × 360 ° The total production = 6000 metric tons . Thus, the central angle for each component can be calculated as follows: Item Production (in Metric tons) Sector Angle Wheat 3260 3260 6000 × 360 ° = 195 . 6 ° Rice 1840 1840 6000 × 360 ° = 110 . 4 ° Tea 900 900 6000 × 360 ° = 54 ° Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

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 ₹ ) 1600 200 600 150 100 80 270 Draw a pie-diagram to represent the above data.

We know that, The central angle of a component = Component value Sum of the component values × 360 ° The total expenditure = ₹ 3000 . Thus, central angle for each component can be calculated as follows: item Expenditure (in Rs) Sector 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 etc 100 100 3000 × 360 ° = 12 ° Medicine 80 80 3000 × 360 ° = 9 . 6 ° Miscellaneous 270 270 3000 × 360 ° = 32 . 4 ° Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

Draw a pie-diagram for the following data of the investment pattern in a five year plan: Agriculture Irrigation and Power Small Industries Transport Social Service Miscellaneous 14 % 16 % 29 % 17 % 16 % 8 %

We know that, Central angle of a component = Component value Sum of the component values × 360 ° . Here the total percentage = 100 % . The central angle for each component can be calculated as follows: Item Amount Invested in % Sector 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 ° Steps of construction → Calculate the central angle for each component, as shown in the previous step. → Draw a circle of appropriate radius. Radius = Diameter 2 → Within this circle, draw a radius. → Draw another radius making central angle of first component with drawn radius, this sector represents the first component. From this radius, draw next radius with central angle of second component, this sector represents second component and so on, until we finish all the components. → Shade each sector differently and mark the component it represents. → Give heading in the pie-chart as shown below.

R. D. Sharma Solutions for Chapter: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE

Attempt the practice questions on Chapter 25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. Mathematics for Class 8 solutions are prepared by Experienced Embibe Experts.

Questions from R. D. Sharma Solutions for Chapter: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE with Hints & Solutions

MEDIUM

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 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 $thousand$ $Rs$ )	$45$	$\frac{45}{300} \times 360 ° = 54 °$	$45$	$75$	$45$	$45$

MEDIUM

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 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	$40 %$	$25 %$	$20 %$	$15 %$

MEDIUM

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 12

Represent the following data by a pie-diagram:

Items of Expenditure	Expenditure
Items of Expenditure	Family A	Family B
Food	$4000$	$6400$
Clothing	$2500$	$480$
Rent	$1500$	$3200$
Education	$400$	$1000$
Miscellaneous	$1600$	$600$
Total	$10000$	$11680$

EASY

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 13

Following data gives the break up of the cost of production of book:

Printing	Paper	Binding Charges	Advertisment	Royalty	Miscellaneous
$30 %$	$15 %$	$15 %$	$20 %$	$10 %$	$15 %$

Draw a pie- diagram depicting the above information.

EASY

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 14

Represent the following data with the help of a pie-diagram:

Items	Wheat	Rice	Tea
Production (in $metric tons$ )	$3260$	$1840$	$900$

MEDIUM

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 15

Draw a pie-diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:
$12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7$

MEDIUM

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 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 $₹$ )	$1600$	$200$	$600$	$150$	$100$	$80$	$270$

Draw a pie-diagram to represent the above data.

MEDIUM

8th CBSE

IMPORTANT

Mathematics for Class 8>Chapter 25 - Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)>EXERCISE>Q 17

Draw a pie-diagram for the following data of the investment pattern in a five year plan:

Agriculture	Irrigation and Power	Small Industries	Transport	Social Service	Miscellaneous
$14 %$	$16 %$	$29 %$	$17 %$	$16 %$	$8 %$

R. D. Sharma Solutions for Chapter: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE

Questions from R. D. Sharma Solutions for Chapter: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs), Exercise 1: EXERCISE with Hints & Solutions

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