Question

A circle with a radius of 9cm sits inside of a circle with a radius of 11cm. What is the area of the shaded region? Round your answer to the nearest hundredth. PLEASE HELP DUE TOMORROW

Answer 1

`A=125.66\ cm^2`

Explanation:

The complete question is

The area of the shaded region is the area inside the larger circle and outside the smaller circle

so

To find out the area of the shaded region subtract the area of the smaller circle from the area of the larger circle

Remember that

The area of the circle is

`A=\pi r^(2)`

therefore

The area of the shaded region is

`A=\pi [r_1^2-r_2^2]`

where

`r_1=11\ cm` ---> radius of the larger circle

`r_2=9\ cm` ---> radius of the smaller circle

assume

`\pi =3.1416`

substitute

`A=3.1416 [11^2-9^2]`

`A=3.1416 [40]`

`A=125.66\ cm^2`