Find the length s of the arc of a circle of radius 85 centimeters subtended by the center angle .
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.
For a circle of a radius r, a center angle of radian subtends an arc whose length s is
s = r
Convert angle in degrees to radians.
S (arc length)= r
= 85 centimeters.radian
= 17 centimeters