Find the length s of the arc of a circle of radius 85 centimeters subtended by the center angle .

**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 a radius r, a center angle ofÂ radian subtends an arc whose length s is

s = r

Convert angle in degrees to radians.

radian

radian

radian

S (arc length)= r

= 85 centimeters.radian

= 17 centimeters

53.407