The radius of a circle is 6 inches. If the central angle is 5pi/3, find the length of the intercepted arc.
To find the length of the arc, multiply the angle in radians by the radius.
arc length=`thetar` (1)
where `theta` is the angle and r is the radius of the circle
For a whole circle, the angle is `2pi` , so the length of the arc is `2pir`
Substitute `(5pi)/3` for `theta` and 6 inches for r in (1):
Therefore the arc length is `10pi`