Question

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations). Thanks so much to whoever helps! <3

Answer 1

`7\pi cm^2`

Explanation:

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

For circle B, the radius is 3 cm, it has an area of
`\pi *3^2=9\pi cm^2`

Circle D also has a radius of 1 cm. Its area is
`\pi *1^2=\pi cm^2`

Circle P also has a radius of 1 cm and area
`\pi*1^2=\pi cm^2`

The area of the shaded region is then
`9\pi -\pi-\pi=7\pi cm^2`