Page 262 - ICSE Math 8

Construction of pie chart
(a) Draw a circle of any radius. Other land
(b) Draw a horizontal line as the radius of the circle. animals
(c) Starting with this horizontal radius and moving in clockwise 160º
direction, form sectors with central angles 50º, 20º, 60º, 70º 70º 50º
and 160º respectively. Water 60º Birds
(d) Shade the various sectors with different colours/designs and animals 20°
name them. Beasts Reptiles
Hence, the required pie chart is constructed.
Example 8: The pie chart given alongside shows the marks scored in an
examination by a student in Hindi, English, Mathematics, Social
Social Science and Science. If the total marks obtained by Science
the student were 540, answer the following questions: Mathematics 65º
90º
(a) In which subject did the student score 105 marks? 55º 80º
(b) How many more marks were obtained by the student in English 70º Science
Mathematics than in Hindi?
(c) Examine whether the sum of the marks obtained in Social Hindi
Science and Mathematics is more than that in Science
and Hindi.

Solution: (a) The student scored 105 marks in Subjects Central angle Marks obtained
Hindi.
(b) Marks in Mathematics = 135, Marks English 55º 55  × 540 = 82.5
in Hindi = 105 360 
So, the student got 135 – 105 = 30 90 
more marks in Mathematics than in Mathematics 90º 360  × 540 = 135
Hindi. Social 65 
(c) (S ) Sum of marks in Social Science Science 65º 360  × 540 = 97.5
1
and Mathematics = 135 + 97.5 
= 232.5 Science 80º 80  × 540 = 120
(S ) Sum of marks in Science and 360
2
Hindi = 120 + 105 = 225 Hindi 70º 70   × 540 = 105
\ S > S 2 360
1

EXERCISE 23.4

1. Draw a pie chart for the following data.

Transport to school Walk Bus Bicycle Metro Car

Number of students 400 1,000 200 300 100

2. The following data relates to the cost of construction of a house in Mumbai.

Items Cement Steel Bricks Timber Labour Miscellaneous

Expenditure 30% 10% 10% 15% 25% 10%
Represent the data in a pie chart.

250