Question

a circle with radius of 2cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region ?

Answer 1

The area of the shaded region is
`(77-4\pi)\ cm^(2)`

Explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

step 1

Find the area of the rectangle

`A=(7)(11)=77\ cm^(2)`

step 2

Fin the area of the circle

`A=\pi (2)^(2)=4\pi \ cm^(2)`

step 3

Find the area of the shaded region

`77\ cm^(2)-4\pi \ cm^(2)=(77-4\pi)\ cm^(2)` -----> exact value

To find the approximate value use
`\pi=3.14`

`(77-4(3.14))=64.44\ cm^(2)` -----> approximate value