Various modes of transport used by 1260 students in a given school are given below: School bus Private bus Bicycle Rickshaw On foot 350 245 210 350 280 Represent the above data by a pie chart.

Total number of students = 1260 Central angle of each mode = Number of students using that mode Total number of students × 360 ° Calculation of central angles: Mode of transport Number of students Central angle School bus 350 350 1260 × 360 ° = 100 ° Private bus 245 245 1260 × 360 ° = 70 ° Bicycle 210 210 1260 × 360 ° = 60 ° Rickshaw 175 175 1260 × 360 ° = 50 ° On foot 280 280 1260 × 360 ° = 80 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 100 º , 70 º , 60 º , 50 º and 80 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

The data given below shows number of hours spent by a school boy on different activities on a working day. Activity School School Homework Play Sleep Others Total Number of hours 7 4 2 8 3 24 Represent the above data by a pie chart.

Total number of hours = 24 Central angle of each activity = Number of hours spent on each activity Total number of hours × 360 ° Calculation of central angles: Activity Number of hours Central angle School 7 7 24 × 360 ° = 105 ° Homework 4 4 24 × 360 ° = 60 ° Play 2 2 24 × 360 ° = 30 ° Sleep 8 8 24 × 360 ° = 120 ° Others 3 3 24 × 360 ° = 45 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 105 º , 60 º , 30 º , 120 º and 45 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

The data on religion wise division of 1080 workers of a factory are given below: Religion Religion Hindu Muslim Sikh Christian Number of workers 450 270 255 105 Draw a pie chart to represent the above data.

Total number of workers = 1080 Central angle of each religion = Number of workers in each religion Total number of workers × 360 ° Calculation of central angles Religion Number of workers Central angle Hindu 450 450 1080 × 360 ° = 150 ° Muslim 270 270 1080 × 360 ° = 90 ° Sikh 255 255 1080 × 360 ° = 85 ° Christian 105 105 1080 × 360 ° = 35 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 150 º , 90 º , 85 º and 35 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

The marks obtained by Sudhir in an examination are given below: Subject English Hindi Mathematics Science Social Science 105 75 150 120 90 Represent the above data by a pie chart.

Total marks obtained = ( 105 + 75 + 150 + 120 + 90 ) = 540 Central angle of each subject = Marks obtained in each subject Total marks obtained × 360 ° Calculation of central angles: Subject Marks obtained Central angle English 105 105 540 × 360 ° = 70 ° Hindi 75 75 540 × 360 ° = 50 ° Mathematics 150 150 540 × 360 ° = 100 ° Science 120 120 540 × 360 ° = 80 ° Social Science 90 90 540 × 360 ° = 60 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 70 º , 50 º , 100 º , 80 º and 60 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

The following table gives the number of different fruits kept in a hamper. Type of fruit Mangoes Apples Oranges Coconuts Pomegranates Number 26 30 21 5 8 Represent the above data by a pie chart.

Total number of fruits = ( 26 + 30 + 21 + 5 + 8 ) = 90 Central angle of each fruit = Number of each type of fruit Total number of fruits × 360 ° Calculation of central angles: Type of fruit Number Central angle Mangoes 26 26 90 × 360 ° = 104 ° Apples 30 30 90 × 360 ° = 120 ° Oranges 21 21 90 × 360 ° = 84 ° Coconuts 5 5 90 × 360 ° = 20 ° Pomegranates 8 8 90 × 360 ° = 32 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 104 º , 120 º , 84 º , 20 º and 32 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

The following data shows the agricultural production in India during a certain year. Food grain Rices Wheat Coarse cereals Pulse Production (in millions of tonnes) 57 76 38 19 Draw a pie chart to represent the above data.

Total production = ( 57 + 76 + 38 + 19 ) = 190 Central angle of each food grain = Production of each foodgrain Total production × 360 ° Calculation of central angles: Food grain Production (in millions of tonnes) Central angle Rice 57 57 190 × 360 ° = 108 ° Wheat 76 76 190 × 360 ° = 144 ° Coarse cereals 38 38 190 × 360 ° = 72 ° Pulses 19 19 190 × 360 ° = 36 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 108 º , 144 º , 72 º and 36 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

Given below is the result of an annual examination of a class, showing the percentage of students in each category. First division Second division Third division Failed 25 % 45 % 20 % 10 % Represent the above data by a pie chart.

Total percentage = 100 Central angle of a category = Percentage value of the category 100 × 360 ° Calculation of central angles: Category Result (in %) Central angle First division 25 25 100 × 360 ° = 90 ° Second division 45 45 100 × 360 ° = 162 ° Third division 20 20 100 × 360 ° = 72 ° Failed 10 10 100 × 360 ° = 36 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 90 º , 162 º , 72 º and 36 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

The following table shows the percentages of buyers of four different brands of bathing soaps. Brand A B C D Percentage of buyers 20 % 40 % 25 % 15 % Represent the above data by a pie chart.

Total percentage = 100 Central angle of a brand = Percentage value of the brand 100 × 360 ° Calculation of central angles: Brand Buyers (in %) Central angle A 20 20 100 × 360 ° = 72 ° B 40 40 100 × 360 ° = 144 ° C 25 25 100 × 360 ° = 90 ° D 15 15 100 × 360 ° = 54 ° Steps of construction: 1 . Draw a circle of any convenient radius. 2 . Draw a horizontal radius of this circle. 3 . Draw sectors whose central angles are 72 º , 144 º , 90 º and 54 º . 4 . Colour the sectors differently and indicate the sector represented by a colour. Thus, the pie chart is obtained as follows:

R S Aggarwal Solutions for Chapter: Pie Charts, Exercise 1: EXERCISE

Author:R S Aggarwal

R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Chapter: Pie Charts, Exercise 1: EXERCISE

Attempt the practice questions on Chapter 24: Pie Charts, Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. Mathematics Class 8 solutions are prepared by Experienced Embibe Experts.

Questions from R S Aggarwal Solutions for Chapter: Pie Charts, Exercise 1: EXERCISE with Hints & Solutions

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

Various modes of transport used by $1260$ students in a given school are given below:

School bus	Private bus	Bicycle	Rickshaw	On foot
$350$	$245$	$210$	$350$	$280$

Represent the above data by a pie chart.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

The data given below shows number of hours spent by a school boy on different activities on a working day.

Activity	School	School Homework	Play	Sleep	Others	Total
Number of hours	$7$	$4$	$2$	$8$	$3$	$24$

Represent the above data by a pie chart.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

The data on religion wise division of $1080$ workers of a factory are given below:

Religion	Religion Hindu	Muslim	Sikh	Christian
Number of workers	$450$	$270$	$255$	$105$

Draw a pie chart to represent the above data.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

The marks obtained by Sudhir in an examination are given below:

Subject	English	Hindi	Mathematics	Science	Social Science
	$105$	$75$	$150$	$120$	$90$

Represent the above data by a pie chart.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

The following table gives the number of different fruits kept in a hamper.

Type of fruit	Mangoes	Apples	Oranges	Coconuts	Pomegranates
Number	$26$	$30$	$21$	$5$	$8$

Represent the above data by a pie chart.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

The following data shows the agricultural production in India during a certain year.

Food grain	Rices	Wheat	Coarse cereals	Pulse
Production (in millions of tonnes)	$57$	$76$	$38$	$19$

Draw a pie chart to represent the above data.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

Given below is the result of an annual examination of a class, showing the percentage of students in each category.

First division	Second division	Third division	Failed
$25 %$	$45 %$	$20 %$	$10 %$

Represent the above data by a pie chart.

HARD

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 24 - Pie Charts>EXERCISE

The following table shows the percentages of buyers of four different brands of bathing soaps.

Brand	A	B	C	D
Percentage of buyers	$20 %$	$40 %$	$25 %$	$15 %$

Represent the above data by a pie chart.

R S Aggarwal Solutions for Chapter: Pie Charts, Exercise 1: EXERCISE

R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Chapter: Pie Charts, Exercise 1: EXERCISE

Questions from R S Aggarwal Solutions for Chapter: Pie Charts, Exercise 1: EXERCISE with Hints & Solutions

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