A circle has a radius of 13in. find the radian measure of the central angle θ that intercepts an arc of length 5in

The radius of the circle is 13 in, therefore the circumference is

2π (13) = 26π in.

The central angle of the circle is 2π rad.

The arc has a length of 5 in.

If the central angle of the arc is θ rad, then

13θ = 5

θ = 5/13 = 0.385 rad

Answer: θ = 0.385 rad