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

`27\pi`

Explanation:

The area of a circle is given by the formula
`A = \pi r^2`.

We are given the radius of this circle, so we can plug in.

`A = \pi r^2\\A=6^2\pi \\A=36\pi`

Seeing that there is
`(3)/(4)` of the circle left, multiply
`36\pi` by
`(3)/(4)`.

`36\pi((3)/(4))\\ 9\pi (3)\\27\pi`