Question

Find the radio said the circle given the central angle in the area of the shaded sector

Answer 1

The formula for the area of sector is,

`A=(\theta)/(360)*\pi(r)^2`

Detemine the radius of the circle.

`\begin{gathered} 60\pi=(24)/(360)*\pi(r)^2 \\ r^2=(60\cdot360)/(24) \\ =900 \\ r=\sqrt[]{900} \\ =\sqrt[]{3\cdot3\cdot10\cdot10} \\ =30 \end{gathered}`

Thus, radius of the circle is 30 units.