Question

2. In the figures below, calculate the fraction of the whole circle
the green and yellow parts are:
​

Answer 1

Given:

The figures of circles with angles mentioned in them  

To find:

Calculate the fraction of the whole circle the green and yellow parts are:

Solution:

From given, we have,

20°, 24°, 54°, 80°, 108° and 150°

The fraction of the whole circle the green and yellow parts is calculated as follows:

The fraction = angle subtended / full circle angle

The fraction of the circle = θ/360°

20°

The fraction of circle for 20° = 20°/360° = 1/18

24°

The fraction of circle for 24° = 24°/360° = 1/15

54°

The fraction of circle for 54° = 54°/360° = 3/20

80°

The fraction of circle for 80° = 80°/360° = 2/9

108°

The fraction of circle for 108° = 108°/360° = 3/10

150°

The fraction of circle for 150° = 150°/360° = 5/12