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 a pie-chart.

The total percentage of workers = 100 % . So the central angle = C o m p o n e n t v a l u e S u m o f t h e c o m p o n e n t v a l u e s × 360 ° . The central angle for each activity will be calculated as follows: Categories % of workers Central angle Cultivators 40 40 100 × 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 ° 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 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 a pie-chart.

The total Expenditure = 35 + 20 + 10 + 5 + 30 = 100 % . We know that the central angle = C o m p o n e n t v a l u e S u m o f t h e c o m p o n e n t v a l u e s × 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 ° 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 expenditure pattern in a family: Items Food Clothing Rent Education Unforeseen events Medicine Expenditure (in percent) 40 % 20 % 10 % 10 % 15 % 5 %

The total percentage = 100 % . The central angle = C o m p o n e n t v a l u e S u m o f t h e c o m p o n e n t v a l u e s × 360 ° . The central angle for each activity will be calculated as follows: Items Expenditure % 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 ° Medicine 5 % 5 100 × 360 ° = 18 ° 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 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

The total Area = 26 . 9 + 20 . 5 + 30 . 3 + 4 . 9 + 24 . 3 + 17 . 9 + 8 . 5 = 133 . 3 million sq km . The central angle = C o m p o n e n t v a l u e S u m o f t h e c o m p o n e n t v a l u e s × 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 . 3 ° 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 ° = 22 . 9 ° 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 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.

EASY

8th CBSE

IMPORTANT

Earn 100

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) $2700$ $1800$ $2400$ $1500$ $2400$

Important Questions on Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

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 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 a pie-chart.

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 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 a pie-chart.

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 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
$%$	$\frac{125}{3}$	$\frac{125}{6}$	$\frac{25}{2}$	$\frac{50}{3}$	$\frac{25}{3}$	$100$

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 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 percent)	$40 %$	$20 %$	$10 %$	$10 %$	$15 %$	$5 %$

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 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 $million$ $Sq . km$ )	$26.9$	$20.5$	$30.3$	$4.9$	$24.3$	$17.9$	$8.5$

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 $thousand$ $Rs$ )	$60$	$30$	$45$	$75$	$45$	$45$

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	$10000$	$11680$

Items of expenditure	Rent	Education	Food	Clothing	Others
Amount (in Rs)	$2700$	$1800$	$2400$	$1500$	$2400$

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

Important Questions on Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

Learn and Prepare for any exam you want !

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) $2700$ $1800$ $2400$ $1500$ $2400$