A central angle 0, in a circle of radius 4 ft intercepts an arc length of 50 ft. Calculate the radian measure of 0.

Given:

The central angle =

Radius of the circle = 4 ft

Intercepted arc length = 50ft

To find:

The value of in radian measure.

Solution:

The formula for arc length is

where, r is radius and is the central angle in radians.

Putting s=50 and r=4, we get

Divide both sides by 4.

Therefore, the value of is 12.5 radians.