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.

Value of x = 62

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