Pie Charts Class 8 Notes | EduRev

Mathematics (Maths) Class 8

Class 8 : Pie Charts Class 8 Notes | EduRev

 Page 1


Creatures Number of creatures Central angle
Beast animals 150 60°
Other land animals 400 160°
Birds 175 70°
Water animals 125 50°
Reptiles 50 20°
Question:1
The monthly income of family is  28800. The monthly expenditure of the family on various items is given below.
Item Rent Food Clothing Education Saving
Expenditure
in
8000 10800 5600 3600 800
Represent the above data by a pie chart.
Solution:
Monthly income of the family = 28,800
Central angle for each item =
Expenditure per month on various items
Monthly income
×360 °
Calculation of central angles
Items
Expenditure
in
Central angle
Rent 8000 100º
Food 10800 135º
Clothing 5600 70º
Education 3600 45º
Savings 800 10º
Construction of pie chart
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 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.
Question:2
There are 900 creatures in a zoo as per list given below:
 
Beast animals Other land animals Birds Water animals Reptiles
150 400 175 125 50
Represent the above data by a pie chart.
Solution:
Total number of creatures = 900Central angle of each component =
number of creatures in each type
total number of creatures
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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 60°, 160°, 70
( )
( )
Page 2


Creatures Number of creatures Central angle
Beast animals 150 60°
Other land animals 400 160°
Birds 175 70°
Water animals 125 50°
Reptiles 50 20°
Question:1
The monthly income of family is  28800. The monthly expenditure of the family on various items is given below.
Item Rent Food Clothing Education Saving
Expenditure
in
8000 10800 5600 3600 800
Represent the above data by a pie chart.
Solution:
Monthly income of the family = 28,800
Central angle for each item =
Expenditure per month on various items
Monthly income
×360 °
Calculation of central angles
Items
Expenditure
in
Central angle
Rent 8000 100º
Food 10800 135º
Clothing 5600 70º
Education 3600 45º
Savings 800 10º
Construction of pie chart
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 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.
Question:2
There are 900 creatures in a zoo as per list given below:
 
Beast animals Other land animals Birds Water animals Reptiles
150 400 175 125 50
Represent the above data by a pie chart.
Solution:
Total number of creatures = 900Central angle of each component =
number of creatures in each type
total number of creatures
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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 60°, 160°, 70
( )
( )
Mode of transport Number of students Central angle
School bus 350 100°
Private bus 245 70°
Bicycle 210 60°
Rickshaw 175 50°
On foot 280 80°
Activity Number of hours Central angle
School 7 105°
Home work 4 60°
Play 2 30°
Sleep 8 120°
Others 3 45°
Question:3
Various modes of transport used by 1260 students in a given school are given below:
 
School bus Private bus Bicycle Rickshaw On foot
350 245 210 175 280
Represent the above data by a pie chart.
Solution:
Total number of students = 1260Central angle of each component =
number of students using that mode
total number of students
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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°, 70°, 60
Question:4
The data given below shows number of hours spent by a school boy on different activities on a working day.
 
Activity School Homework Play Sleep Others Total
Number of hours 7 4 2 8 3 24
Represent the above data by a pie chart.
Solution:
Total number of hours = 24Central angle of each component =
number of hours spent on each activity
total number of hours
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 60°, 30
( )
( )
Page 3


Creatures Number of creatures Central angle
Beast animals 150 60°
Other land animals 400 160°
Birds 175 70°
Water animals 125 50°
Reptiles 50 20°
Question:1
The monthly income of family is  28800. The monthly expenditure of the family on various items is given below.
Item Rent Food Clothing Education Saving
Expenditure
in
8000 10800 5600 3600 800
Represent the above data by a pie chart.
Solution:
Monthly income of the family = 28,800
Central angle for each item =
Expenditure per month on various items
Monthly income
×360 °
Calculation of central angles
Items
Expenditure
in
Central angle
Rent 8000 100º
Food 10800 135º
Clothing 5600 70º
Education 3600 45º
Savings 800 10º
Construction of pie chart
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 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.
Question:2
There are 900 creatures in a zoo as per list given below:
 
Beast animals Other land animals Birds Water animals Reptiles
150 400 175 125 50
Represent the above data by a pie chart.
Solution:
Total number of creatures = 900Central angle of each component =
number of creatures in each type
total number of creatures
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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 60°, 160°, 70
( )
( )
Mode of transport Number of students Central angle
School bus 350 100°
Private bus 245 70°
Bicycle 210 60°
Rickshaw 175 50°
On foot 280 80°
Activity Number of hours Central angle
School 7 105°
Home work 4 60°
Play 2 30°
Sleep 8 120°
Others 3 45°
Question:3
Various modes of transport used by 1260 students in a given school are given below:
 
School bus Private bus Bicycle Rickshaw On foot
350 245 210 175 280
Represent the above data by a pie chart.
Solution:
Total number of students = 1260Central angle of each component =
number of students using that mode
total number of students
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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°, 70°, 60
Question:4
The data given below shows number of hours spent by a school boy on different activities on a working day.
 
Activity School Homework Play Sleep Others Total
Number of hours 7 4 2 8 3 24
Represent the above data by a pie chart.
Solution:
Total number of hours = 24Central angle of each component =
number of hours spent on each activity
total number of hours
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 60°, 30
( )
( )
Religion Marks obtained Central angle
Hindu 450 150°
Muslim 270 90°
Sikh 255 85°
Christian 105 35°
Subject Marks obtained Central angle
English 105 70°
Hindi 75 50°
Mathematics 150 100°
Science 120 80°
Social science 90 60°
Question:5
The data on religion wise division of 1080 workers of a factory are given below:
 
Religion Hindu Muslim Sikh Christian
Number of workers 450 270 255 105
Draw a pie chart to represent the above data.
Solution:
Total number of workers = 1080Central angle of each religion =
number of workers in each religion
total number of workers
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 90°, 85
Question:6
The marks obtained by Sudhir in an examination are given below:
 
Subject English Hindi Mathematics Science Social science
Marks obtained 105 75 150 120 90
Represent the above data by a pie chart.
Solution:
Total marks obtained = (105 +75 +150 +120 +90) = 540Central angle of each subject =
marks obtained in each subject
total marks obtained
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 50°, 100
( )
( )
Page 4


Creatures Number of creatures Central angle
Beast animals 150 60°
Other land animals 400 160°
Birds 175 70°
Water animals 125 50°
Reptiles 50 20°
Question:1
The monthly income of family is  28800. The monthly expenditure of the family on various items is given below.
Item Rent Food Clothing Education Saving
Expenditure
in
8000 10800 5600 3600 800
Represent the above data by a pie chart.
Solution:
Monthly income of the family = 28,800
Central angle for each item =
Expenditure per month on various items
Monthly income
×360 °
Calculation of central angles
Items
Expenditure
in
Central angle
Rent 8000 100º
Food 10800 135º
Clothing 5600 70º
Education 3600 45º
Savings 800 10º
Construction of pie chart
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 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.
Question:2
There are 900 creatures in a zoo as per list given below:
 
Beast animals Other land animals Birds Water animals Reptiles
150 400 175 125 50
Represent the above data by a pie chart.
Solution:
Total number of creatures = 900Central angle of each component =
number of creatures in each type
total number of creatures
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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 60°, 160°, 70
( )
( )
Mode of transport Number of students Central angle
School bus 350 100°
Private bus 245 70°
Bicycle 210 60°
Rickshaw 175 50°
On foot 280 80°
Activity Number of hours Central angle
School 7 105°
Home work 4 60°
Play 2 30°
Sleep 8 120°
Others 3 45°
Question:3
Various modes of transport used by 1260 students in a given school are given below:
 
School bus Private bus Bicycle Rickshaw On foot
350 245 210 175 280
Represent the above data by a pie chart.
Solution:
Total number of students = 1260Central angle of each component =
number of students using that mode
total number of students
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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°, 70°, 60
Question:4
The data given below shows number of hours spent by a school boy on different activities on a working day.
 
Activity School Homework Play Sleep Others Total
Number of hours 7 4 2 8 3 24
Represent the above data by a pie chart.
Solution:
Total number of hours = 24Central angle of each component =
number of hours spent on each activity
total number of hours
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 60°, 30
( )
( )
Religion Marks obtained Central angle
Hindu 450 150°
Muslim 270 90°
Sikh 255 85°
Christian 105 35°
Subject Marks obtained Central angle
English 105 70°
Hindi 75 50°
Mathematics 150 100°
Science 120 80°
Social science 90 60°
Question:5
The data on religion wise division of 1080 workers of a factory are given below:
 
Religion Hindu Muslim Sikh Christian
Number of workers 450 270 255 105
Draw a pie chart to represent the above data.
Solution:
Total number of workers = 1080Central angle of each religion =
number of workers in each religion
total number of workers
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 90°, 85
Question:6
The marks obtained by Sudhir in an examination are given below:
 
Subject English Hindi Mathematics Science Social science
Marks obtained 105 75 150 120 90
Represent the above data by a pie chart.
Solution:
Total marks obtained = (105 +75 +150 +120 +90) = 540Central angle of each subject =
marks obtained in each subject
total marks obtained
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 50°, 100
( )
( )
Types of fruit Number Central angle
Mangoes 26 104°
Apples 30 120°
Oranges 21 84°
Coconuts 5 20°
Pomegranates 8 32°
Food grain production inmillionsoftonnes Central angle
Rice 57 108°
Wheat 76 144°
Coarse cereals 38 72°
Pulses 19 36°
Question:7
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.
Solution:
Total number of fruits = (26 +30 +21 +5 +8) = 90Central angle of each fruit =
number of each type of fruit
total number of fruits
×360 °Calculation of central angles
  
Construction of pie chartSteps of construction: 1. Draw a circle of any convenient radius. 2. Draw a horizontal radius of the circle. 3. Draw sectors whose central angles are 104°, 120°, 84
Question:8
The following data shows the agricultural production in India during a certain year.
 
Foodgrain Rice Wheat Coarse cereals Pulses
Production
inmillionsoftonnes
57 76 38 19
Draw a pie chart to represent the above data.
Solution:
Total production = (57 +76 +38 +19) = 190Central angle of each foodgrain =
production of each foodgrain
total production
×360 °Calculation of central angles
  
Construction of pie chartSteps of construction: 1. Draw a circle of any convenient radius. 2. Draw a horizontal radius of the circle. 3. Draw sectors whose central angles are 108°, 144°, 72
( )
( )
Page 5


Creatures Number of creatures Central angle
Beast animals 150 60°
Other land animals 400 160°
Birds 175 70°
Water animals 125 50°
Reptiles 50 20°
Question:1
The monthly income of family is  28800. The monthly expenditure of the family on various items is given below.
Item Rent Food Clothing Education Saving
Expenditure
in
8000 10800 5600 3600 800
Represent the above data by a pie chart.
Solution:
Monthly income of the family = 28,800
Central angle for each item =
Expenditure per month on various items
Monthly income
×360 °
Calculation of central angles
Items
Expenditure
in
Central angle
Rent 8000 100º
Food 10800 135º
Clothing 5600 70º
Education 3600 45º
Savings 800 10º
Construction of pie chart
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 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.
Question:2
There are 900 creatures in a zoo as per list given below:
 
Beast animals Other land animals Birds Water animals Reptiles
150 400 175 125 50
Represent the above data by a pie chart.
Solution:
Total number of creatures = 900Central angle of each component =
number of creatures in each type
total number of creatures
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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 60°, 160°, 70
( )
( )
Mode of transport Number of students Central angle
School bus 350 100°
Private bus 245 70°
Bicycle 210 60°
Rickshaw 175 50°
On foot 280 80°
Activity Number of hours Central angle
School 7 105°
Home work 4 60°
Play 2 30°
Sleep 8 120°
Others 3 45°
Question:3
Various modes of transport used by 1260 students in a given school are given below:
 
School bus Private bus Bicycle Rickshaw On foot
350 245 210 175 280
Represent the above data by a pie chart.
Solution:
Total number of students = 1260Central angle of each component =
number of students using that mode
total number of students
×360 °Calculation of central angles
 
 
Construction of pie chartSteps 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°, 70°, 60
Question:4
The data given below shows number of hours spent by a school boy on different activities on a working day.
 
Activity School Homework Play Sleep Others Total
Number of hours 7 4 2 8 3 24
Represent the above data by a pie chart.
Solution:
Total number of hours = 24Central angle of each component =
number of hours spent on each activity
total number of hours
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 60°, 30
( )
( )
Religion Marks obtained Central angle
Hindu 450 150°
Muslim 270 90°
Sikh 255 85°
Christian 105 35°
Subject Marks obtained Central angle
English 105 70°
Hindi 75 50°
Mathematics 150 100°
Science 120 80°
Social science 90 60°
Question:5
The data on religion wise division of 1080 workers of a factory are given below:
 
Religion Hindu Muslim Sikh Christian
Number of workers 450 270 255 105
Draw a pie chart to represent the above data.
Solution:
Total number of workers = 1080Central angle of each religion =
number of workers in each religion
total number of workers
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 90°, 85
Question:6
The marks obtained by Sudhir in an examination are given below:
 
Subject English Hindi Mathematics Science Social science
Marks obtained 105 75 150 120 90
Represent the above data by a pie chart.
Solution:
Total marks obtained = (105 +75 +150 +120 +90) = 540Central angle of each subject =
marks obtained in each subject
total marks obtained
×360 °Calculation of central angles
  
Construction of pie chartSteps 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°, 50°, 100
( )
( )
Types of fruit Number Central angle
Mangoes 26 104°
Apples 30 120°
Oranges 21 84°
Coconuts 5 20°
Pomegranates 8 32°
Food grain production inmillionsoftonnes Central angle
Rice 57 108°
Wheat 76 144°
Coarse cereals 38 72°
Pulses 19 36°
Question:7
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.
Solution:
Total number of fruits = (26 +30 +21 +5 +8) = 90Central angle of each fruit =
number of each type of fruit
total number of fruits
×360 °Calculation of central angles
  
Construction of pie chartSteps of construction: 1. Draw a circle of any convenient radius. 2. Draw a horizontal radius of the circle. 3. Draw sectors whose central angles are 104°, 120°, 84
Question:8
The following data shows the agricultural production in India during a certain year.
 
Foodgrain Rice Wheat Coarse cereals Pulses
Production
inmillionsoftonnes
57 76 38 19
Draw a pie chart to represent the above data.
Solution:
Total production = (57 +76 +38 +19) = 190Central angle of each foodgrain =
production of each foodgrain
total production
×360 °Calculation of central angles
  
Construction of pie chartSteps of construction: 1. Draw a circle of any convenient radius. 2. Draw a horizontal radius of the circle. 3. Draw sectors whose central angles are 108°, 144°, 72
( )
( )
Category Result in Central angle
First division 25 90°
Second division 45 162°
Third division 20 72°
Failed 10 36°
Brand Buyers in Central angle
A 20 72°
B 40 144°
C 25 90°
D 15 54°
Question:9
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.
Solution:
Total percentage = 100Central angle of each category =
value (in %) of each category
100
×360 °Calculation of central angles
  
Construction of pie chartSteps of construction: 1. Draw a circle of any convenient radius. 2. Draw a horizontal radius of the circle. 3. Starting from the horizontal radius, draw sectors whose
Question:10
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.
Solution:
Total percentage = 100Central angle of each brand =
value (in %) of each brand 
100
×360 °Calculation of central angles:
  
Construction of pie chartSteps of construction: 1. Draw a circle of any convenient radius. 2. Draw a horizontal radius of th e circle. 3. Draw sectors whose central angles are 72°, 144°, 90
( )
( )
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