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Find the area of the shaded sector of the circle.

Find the area of the shaded sector of the circle.-example-1
User Hey
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1 Answer

4 votes

Answer:


192\pi \text{ ft}^2

Explanation:

We can see that the shaded section of the circle is 3/4 of the total circle. This can be checked by comparing the angles measure of the shaded section with the angle of the entire circle:


((360-90)\°)/(360\°)


=(270)/(360)


=(3)/(4)

We can find its area by multiplying 3/4 by the area of the entire circle.


A = (3)/(4) \cdot \pi r^2


A=(3)/(4) \cdot \pi \cdot 16^2


A = (3)/(4) \cdot \pi \cdot 256


\boxed{A = 192\pi \text{ ft}^2}

User Justin Fay
by
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