Question

A circle with radius of 3 cm sits inside a 8 cm x 7 cm rectangle.

What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answer 1

27.74 cm^2

Explanation:

Hope this helps!

Answer 2

The area of the shaded region is
`27.74\ cm^(2)`

Explanation:

I assume that the shaded region is the area inside of rectangle and outside the circle

so

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

step 1

Find the area of rectangle

The area of rectangle is equal to multiply the length by the width

`A=(8)(7)=56\ cm^(2)`

step 2

Find the area of the circle

The area of the circle is

`A=\pi r^(2)`

we have

`r=3\ cm`

`\pi =3.14`

substitute

`A=(3.14)(3^(2))`

`A=28.26\ cm^(2)`

step 3

Find the area of the shaded region

`56-28.26=27.74\ cm^(2)`