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If a circle has an area of 32 rt square feet, then a 135-degree sector of the circle has an area of blanksquare feet. Round to the nearest tenths place.

If a circle has an area of 32 rt square feet, then a 135-degree sector of the circle-example-1
User Webbies
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1 Answer

10 votes
10 votes

Given,

The area of the circle is,


32\pi
\begin{gathered} \pi r^2=32\pi \\ r^2=32 \\ r=5.65 \end{gathered}

The area of the circle sector is,


\begin{gathered} S=(r^2\theta)/(2) \\ \text{ = }((5.65)^2*(135))/(2) \\ \text{ = 37}.61 \end{gathered}

The area of the circle sector is 37.6 sq ft

User Steakchaser
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