An are is 4 meters long and is intercepted by a central angl

An are is 4 meters long and is intercepted by a central angle of pi/8 radians. Determine the radius of the circle.

Solution

theta(in radians) = (arc length)/(radius).
radius = (arc length)/theta
Radius = (4m)/(pi/8)

= (32/pi) m

= 10.191m