Question

Find Area of each shaded sector. Round to the hundredths place.

Answer 1

1330.81

Explanation:

I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!

Answer 2

Check the picture below.

so the area that is not shaded has a total of 90° + 26° = 116°.

a circle has a total of 360°, so the area that is shaded must be 360° - 116° = 244°, and it has a radius of 25.

`\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}`