Given that an intercepted arc has length 6π inches and the central angle is π 3 , find the radius of the circle.

A2 inches B) 3 inches C) 9 inches D) 18 inches

Verified Answer :

The formula for arc length \(S\), radius \(r\), and angle \(\theta\) is
\(S=r\theta\)

So we get
\(6\pi=r*\frac{\pi}{3}\)
\(\rightarrow\pi r=18\pi\)
\(\rightarrow r=18\)

Answer:

18

Step-by-step explanation: