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