Question

Find the radius when the arc is / and / radians

Answer 1

The arc length formula is :

`l=r\theta`

where r = radius

θ = angle in radians

and l = arc length

From the problem, the arc length is 18π/7 and the angle is 6π/7.

Using the formula above :

`\begin{gathered} (18\pi)/(7)=r((6\pi)/(7)) \\ 18\pi=r(6\pi) \\ r=(18\pi)/(6\pi) \\ r=3 \end{gathered}`

ANSWER :

The radius is 3