Circle Graphs

The circle graph is a graph drawn in the shape of a circle and is divided into sectors. Each of these sectors

represents a part of a data set. These sectors may be mostly represented as percentage. This circle graph is

also called pie chart. To draw the graph we need to calculate the degrees for each arc or sectors. This is

done by multiplying percentage with 360 degree. Then with the help of a protractor the graph is drawn. This

circle graphs are very useful tool and explained by the following examples.

Example 1: A collection of 200 people are sitting in a room. These are 3 colored chairs; 80 sitting

on red, 60 sitting on blue, and 60 sitting on green. Calculate the percentage and degrees of the

circle graph.

Solution: Total people are 200

Percentage on red chair = 80/200 x 100= 40%; (40/100)360 =144°

Percentage on blue chair = 60/200 x 100= 30%; (30/100)360 =108°

Percentage on green chair = 60/200 x 100= 30%; (30/100)360 =108°

Example 2: In a traffic jam, we have 20 Zen, 20 Santro, 30 Nano and 40 WagonR. Find the

percentage and degree of the types of cars.

Solution: Total cars = 20+20+30+40 = 110

Percentage of Zen = 20/110 x 100 = 18.18%; (18.18/100)360 =65.45°

Percentage of Santro = 20/110 x 100 = 18.18%; (18.18/100)360 =65.45°

Percentage of Nano = 30/110 x 100 = 27.77%; (27.77/100)360 =99.97°

Percentage of WagonR = 40/110 x 100 = 16.66%; (16.66/100)360 =59.97°


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