Question

The figure below shows two white quarter circles inside a rectangle. The area of the shaded portion is approximately _____square feet. Round the solution to the nearest whole number. Use 3.14 for pi.

Answer 1

So you have two quarter circles or one half circle



The radius of the circle is 10 ft and the dimensions of the rectangle are 10 ft x 20 ft

The area of the two quarter circles (one half circle) is given by
\[\frac{\pi*r^2}{2}\]

The area of the shaded portion will be equal to the area of the rectangle minus the area of the half circle

\[20*10 - \frac{\pi*10^2}{2}=200 - 50 \pi\]