Question

Find the shaded area of the basketball court to the nearest foot.

Answer 1

So the image consists of 1 rectangle and half a circle.

Rectangle - 12*19 = 228
Half a circle -
`\pi r^2 = \pi 6^2 = 36 \pi/2 = 18 \pi`

In the end there are 2 rectangles (2*228 = 456) and 1 full circle (18*2 = 36), which makes the shaded area 456 ft and 36
`\pi`

Answer 2

First, find the area of the rectangle, which is just 12•19=228 ft.

Then find the area of the semi-circle above it, which is pi times the radius squared. The diameter is 12ft, and we know the radius is half of the diameter, so the radius is 6ft. Our equation is pi times 6^2, or pi times 36.
We’ll just make pi 3.14, so 36•3.14=113.04 feet.

Add the area of the semi-circle and the rectangle together to get one of the shaded areas. 228+113.04= 341.04.

Now that we know the full area of one shaded region, we multiply it by two because there’s two of them. 341.04•2= 682.02.

Since we round it to the nearest foot, our final answer is that the shaded area of the basketball court is 682 square feet.