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Find the central angle of the Shaded sector given the radius and the area of that sector

Find the central angle of the Shaded sector given the radius and the area of that-example-1
User Joseeight
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1 Answer

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The central angle of the shaded sector is 10 degrees.

By formula,


\begin{gathered} \text{Area of Sector=}(\theta)/(360)*\pi r^2 \\ \\ 16\pi=(\theta)/(360)*\pi*24^2 \\ \text{Cross multiply, we get} \\ 24^2*\pi*\theta=16*\pi*360 \\ \theta=(16*\pi*360)/(24^2*\pi)=10^o \end{gathered}

User Kwart
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