A central angle 𝜃 in a circle of radius 8 m is subtended by an arc of length 9 m. Find the measure of 𝜃 in degrees.

Answer 1

Angle = Arc / Radius ( As 2pi = Circumference /Radius =2*pi*radius /Radius )

Here Angle is in Radians

Given Arc = 9m

Radius = 8m

Angle = 9/8 Radians

pi radian = 180 degrees

9/8 radian = = (180 *9) / (pi* 8) degree= 64.43 degree