Question

Find the area of the following two composite figures. For #1, assume the right side (circular part) is a semi circle (which is half circle).For #2, assume that the angles are right angles.

Answer 1

#1.

The area of the composite figure can be determined as,

$\begin{gathered} A=12\text{ in}\times5\text{ in+}\frac{\pi r^2}{2} \\ =60in^2+\frac{\pi\times(\frac{5\text{ in}}{2})^2}{2} \\ =69.81in^2 \end{gathered}$

Thus, the required area of the composite figure is 69.81 square inches.

#2.

The area of the composite figure can be determined as,

$\begin{gathered} A=(16in)^2+(8in)^2 \\ A=256in^2+64in^2 \\ A=320in^2 \end{gathered}$

Thus, the required area of the composite figure is 320 square inches.