Question

Find the area of the shaded regions.

Answer 1

`\boxed{\sf 7\pi \ cm^2 \ or \ 21.99 \ cm^2 }`

Explanation:

`\sf Find \ the \ area \ of \ the \ two \ smaller \ circles.`

`\sf{Area \ of \ a \ circle:} \: \pi r^2`

`\sf r=radius \ of \ circle`

`\sf There \ are \ two \ circles, \ so \ multiply \ the \ value \ by \ 2.`

`(2) \pi (1)^2`

`2\pi`

`\sf Find \ the \ area \ of \ the \ larger \ circle.`

`\sf{Area \ of \ a \ circle:} \: \pi r^2`

`\sf r=radius \ of \ circle`

`\pi (3)^2`

`9\pi`

`\sf Subtract \ the \ areas \ of \ the \ two \ circles \ from \ the \ area \ of \ the \ larger \ circle.`

`9\pi -2\pi`

`7\pi`

Answer 2

7 pi cm^2 or approximately 21.98 cm^2

Explanation:

First find the area of the large circle

A = pi r^2

A = pi 3^2

A = 9 pi

Then find the area of the small unshaded circle

A = pi r^2

A = pi (1)^2

A = pi

There are two of these circles

pi+ pi = 2 pi

Subtract the unshaded circles from the large circle

9pi - 2 pi

7 pi

If we approximate pi as 3.14

7(3.14) =21.98 cm^2