Question

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

A) 2 inches B) 3 inches C) 9 inches D) 18 inches

Answer 1

18

Explanation:

Answer 2

The formula for arc length
`S`, radius
`r`, and angle
`\theta` is

`S=r\theta`

So we get

`6\pi=r*(\pi)/(3)`

`\rightarrow\pi r=18\pi`

`\rightarrow r=18`