Find the length s of the circle of radius 75 meters subtended by the center angle radian.

**Solution:-**

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

**ARC LENGTH**

For a circle of a radius r, a center angle ofÂ radian subtends an arc whose length s is

s = r

The value of r in the formula is 75 meters.

The value of in the formula is radian.

S(arc length) = 75 meters*radian

= 3 meters