Question

Find the area of the shaded region

Answer 1

7
`\pi` cm²

Explanation:

First, find the area of the big circle with the formula A =
`\pi`r²

A =
`\pi`(3)²

A = 9
`\pi`

Now, we can find the areas of the smaller circles. Since they have the same radius, they are congruent (will have the same area)

A =
`\pi`r²

A =
`\pi`(1)²

A =
`\pi`

Now, we will subtract the areas of the smaller circles from the area of the big circle to find the area of the shaded region:

9
`\pi` -
`\pi` -
`\pi` = 7
`\pi`

So, the area of the shaded region is 7
`\pi` cm²