Question

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

Answer 1

52
`\pi`

Explanation:

The total shaded are will be the area of big circle - not shaded circle + little shaded circle.

The are of big shaded circle:
`\pi`
`r^(2)` So, A=
`\pi`(8^2)= 64
`\pi`

The are of not shaded circle:
`\pi r^(2)` So, A=
`\pi`(4^2)= 16
`\pi`

The are of little shaded cirlce:
`\pi r^(2)` So, A=
`\pi`(2^2)= 4
`\pi`

64
`\pi` - 16
`\pi` + 4
`\pi`= 52
`\pi`