The formula for the area of sector is,
[tex]A=\frac{\theta}{360}\times\pi(r)^2[/tex]
Detemine the radius of the circle.
[tex]\begin{gathered} 60\pi=\frac{24}{360}\times\pi(r)^2 \\ r^2=\frac{60\cdot360}{24} \\ =900 \\ r=\sqrt[]{900} \\ =\sqrt[]{3\cdot3\cdot10\cdot10} \\ =30 \end{gathered}[/tex]
Thus, radius of the circle is 30 units.
