Question

May someone please help me with this?

Answer 1

Explanation:

First, calculate the angle of FDE (assume it as α) by:

`EF=(\alpha)/(360)*(2\pi)(DE) \rightarrow 2\pi = (\alpha)/(360)(2\pi)(6)`

`\alpha=60^(0)`

So, use this angle to calculate the area of FDE (unshaded region):

`A_(US)=(\alpha)/(360)*(\pi)(DE)^(2)=(60)/(360)(\pi)(6^(2))=6\pi`

So, the shaded region can be determined by:

`A_(S)=A-A_(US)=\pi(DE)^(2)-6\pi=36\pi-6\pi=30\pi=(60)/(2)\pi`