Question

The figure below shows a circle with a radius of 6 inches from 5 x 7 inch rectangle has been cut. What is the approximate area of the blue region to the nearest tenth?

Answer 1

we have that

The area of the blue region is equal to the area of the complete circle minus the area of the interior rectangle

so

Step 1

Find out the area of the complete circle

`A=\pi\cdot r^2`

where

r=6 in

substitute

`\begin{gathered} A=\pi\cdot6^2 \\ A=113.10\text{ in2} \end{gathered}`

step 2

Find out the area of the rectangle

A=(7)*(5)

A=35 in2

therefore

the area of the blue region is

A=113.10-35

A=78.10 in2