## Problem 1107

Find the length s of the arc of a circle of radius 75 meters subtended by the central angle radian.

Solution:-

A central angle is an angle whose vertex is at the center of a circle. The rays of a central angle subtend (intersect) an arc on the circle. We have the following theorem.

Arc Length

For a circle of radius r, a central angle of θ radians subtends an arc whose length s is

s = r θ

the value of r in the formula is 75 meters.

The value of θ in the formula is radian.

s(arc length) = 75 meters * radian

= 3 meters