1 Answer

Zubair Ahmed · Answer 1 · 2020-01-11T02:52:08+0000

The semicircle has diameter 18 ft, so it has radius 9 ft, and this is the height of the rectangle.

The area of the shaded region is (area of rectangle) - (area of semicircle).

The area of a circle with radius
is
$\pi r^2$ , so the area of a semicircle with the same radius is
$\frac\pi2r^2$ , and in this case that's
$\frac{3.14}2(8\,\mathrm{ft})^2=100.48\,\mathrm{ft}^2$ .

The area of the rectangle is
$(18\,\mathrm {ft})(9\,\mathrm{ft})=162\,\mathrm {ft}^2$ .

Then the area of the shaded region is

$(162-100.48)\,\mathrm{ft}^2=61.52\,\mathrm{ft}^2$

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