Question

A circle has a radius of 9 cm and a sector of the circle has an arc length of 9.7 cm. The angle at the centre of the sector is X°.Calculate the value of x to the nearest degree.

Answer 1

Value of x = 62

Step-by-step explanation:

Angle in radian = Arc length/ Radius

Arc length = 9.7 cm

Radius = 9 cm

Angle in radian = Arc length/ Radius = 9.7/9 = 1.078 radians

2π radians = 360°

1 radian = 57.296°

1.078 radians = 1.078 x 57.296 = 61.75° = 62°

Value of x = 62