FIND THE RADIAN MEASURE

Question

A circle has a radius of 13 in. Find the radian measure of the central angle theta that intercepts an arc of length 6 in. (Do not round any intermediate computations, and round your answer to the nearest tenth. )?

Answer 1

central angle arc length

------------------ = --------------

2 * PI radians circumference

arc length = 6 inches

circumference = 2 * PI * radius, where radius = 13 inches

plug in values and solve for central angle