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*