Pie Charts
Class 8th Mathematics RS Aggarwal Solution
- The monthly income of a family is Rs. 28800. The monthly expenditure of the…
- There are 900 creatures in a zoo as per list given below: Beast animals Other…
- Various modes of transport used by 1260 students in a given school are given…
- The data given below shows number of hours spent by a school boy on different…
- The data of religion-wise division of 1080 workers of a factory are given…
- The marks obtained by Sudhir in an examination are given below: Subject English…
- The following table gives the number of different fruits kept in a hamper.…
- The following data shows the agricultural production in India during a certain…
- Given below is the result of an annual examination of a class, showing the…
- The following table shows the percentages of buyers of four different brands…
- A mans monthly salary is Rs. 24000 and his monthly expenses on travel are Rs.…
- If 35% of the people residing in a locality are Sikhs then the central angle of…
- If in the pie chart representing the number of students opting for different…
- In the pie chart representing the percentage of students having interest in…
Exercise 23a
Question 1.The monthly income of a family is Rs. 28800. The monthly expenditure of the family on various items is given below.
Represent the above data by a pie chart.
Answer:
Total monthly income = Rs.28800.
Central Angle of Component = 
× 3600
Calculation of central angles
Question 2.
There are 900 creatures in a zoo as per list given below:
Represent the above data by a pie chart.
Answer:
Total creatures = 900
Central Angle of Component = × 3600
Calculation of central angles
Question 3.
Various modes of transport used by 1260 students in a given school are given below:
Represent the above data by a pie chart.
Answer:
Total Students = 1260
Central Angle of Component = × 3600
Calculation of central angles
Question 4.
The data given below shows number of hours spent by a school boy on different activities on a working day.
Represent the above data by a pie chart.
Answer:
Total No. of Hours = 24
Central Angle of Component = × 3600
Calculation of central angles
Question 5.
The data of religion-wise division of 1080 workers of a factory are given below:
Represent the above data by a pie chart.
Answer:
Total No. of Workers = 1080
Central Angle of Component = × 3600
Calculation of central angles
Question 6.
The marks obtained by Sudhir in an examination are given below:
Represent the above data by a pie chart.
Answer:
Total Marks = (105 + 75 + 150 + 120 + 90) = 540
Central Angle of Component = × 3600
Calculation of central angles
Question 7.
The following table gives the number of different fruits kept in a hamper.
Represent the above data by a pie chart.
Answer:
Total No. of Fruits = (26 + 30 + 21 + 5 + 8) = 90
Central Angle of Component = × 3600
Calculation of central angles
Question 8.
The following data shows the agricultural production in India during a certain year.
Draw a pie chart to represent the above data.
Answer:
Total Production = (57 + 76 + 38 + 19) = 190
Central Angle of Component = × 3600
Calculation of central angles
Question 9.
Given below is the result of an annual examination of a class, showing the percentage of students in each category.
Represent the above data by a pie chart.
Answer:
Total Students = (25 + 45 + 20 + 10) = 100
Central Angle of Component = × 3600
Calculation of central angles
Question 10.
The following table shows the percentages of buyers of four different brands of bathing soaps.
Represent the above data by a pie chart.
Answer:
Total Students = (20 + 40 + 25 + 15) = 100
Central Angle of Component = × 3600
Calculation of central angles
Exercise 23b
Question 1.A man’s monthly salary is Rs. 24000 and his monthly expenses on travel are Rs. 2500. The central angle of the sector representing travel expenses in the pie chart would be
A. 30°
B. 
C. 45°
D. 60°
Answer:
Monthly Salary = Rs.24000
Expense on Travel = Rs.2500
Central Angle of Component = × 3600
=
= 37.5°
Question 2.
If 35% of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be
A. 108°
B. 115°
C. 126°
D. 135°
Answer:
Total People residing in locality = 100%
Sikh People residing in same locality = 35%
Central Angle of Component = × 3600
=
= 126°
So, Central angle of sector for Sikh community will be 126°.
Question 3.
If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing arts students is 48° then what is the number of students who opted for arts stream?
A. 220
B. 240
C. 275
D. 320
Answer:
Total No. of Students = 1650
Central Angle of sector representing Arts Student = 48o
Let x be the no. of students opted for Arts Stream
Central Angle of Component = × 3600
48 = 
X = 
= 220
So, No. of Students opted for Arts Stream = 220.
Question 4.
In the pie chart representing the percentage of students having interest in reading various kinds of books, the central angle of the sector representing students reading novels is 81°. What is the percentage of students interested in reading novels?
A. 15%
B. 18%
C. 
D. 
Answer:
Angel of sector for Students reading novel = 81°.
Percentage of Students interested in reading no
= =
× 1000
= 
= 22.5%