Question

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.

Answer 1

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