Find the radian measure of the central angle of a circle of radius r=50 inches that intercepts an arc of length s=30 inches

Answer 1

The formula for an arc:

s = rθ where s = arc length, r = radius and θ = central angle (in radians)

The question provides: r=50 in and s=30 in

So just plug it in and solve for θ:

30in = 50in* θ

θ = 30in/50in = 0.6 radians