Question

PLEASE HELP GEOMETRY!!
The area of sector AOB is  20.25 pi ft^2. Find the exact area of the shaded region.

Answer 1

the area of the sector includes the whole sector, namely the triangle and shaded area.

now, if we just get the area of the triangle, and subtract it from the area of the sector, what's leftover is just the area of the "segment", namely the shaded region, check the picture below.

$\bf \stackrel{sector's~area}{20.25\pi }~~~~-~~~~\stackrel{triangle's~area}{\cfrac{1}{2}(9)(9)}$

Answer 2

The area of the shaded region in the circle given is calculated as: 23.1 ft²

How to Find the Area of a Shaded Region of a Circle?

Area of the shaded region = Area of sector - area of triangle.

Area of the sector = 20.25π ft²

Area of triangle = 1/2bh = 1/2(9)(9) = 40.5 ft²

Area of the shaded region = 20.25π - 40.5 = 23.1 ft²

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