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

Find the radio said the circle given the central angle in the area of the shaded sector-example-1
User Hakan Deryal
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1 Answer

22 votes
22 votes

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.

User Daniel Barral
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