Need help on two math problems, finding area of the shaded regions?

Question

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

I'm not sure what to do

parthkohli · Answer

Area of a trapezoid for the first problem.

parthkohli · Answer

Observe that the height is $2\times \rm radius.$

parthkohli · Answer

Trapezium, I mean**

parthkohli · Answer

$$\dfrac{h}{2}\left(a_1 + a_2\right) = \dfrac{8}{2}\left(17\right)$$

parthkohli · Answer

Subtract the area of your circle from that.

parthkohli · Answer

And to correct the question, it's not in terms of $p$; it's in terms of $\pi$.

parthkohli · Answer

I'm talking to myself... @SFAdrienne

anonymous · Answer

I'm following, just waiting for you to finish. :)

unklerhaukus · Answer

haha

parthkohli · Answer

Ah!

For the second, do you know about area of a triangle and the area of a sector?

anonymous · Answer

I do.

parthkohli · Answer

Basically, it'd be the $\mbox{area of the sector }-\mbox{area of the triangle}$

parthkohli · Answer

You're, fortunately, given the area of the sector ;-)

anonymous · Answer

That makes things easier. I'll try it out.

parthkohli · Answer

Sure, take the time you need!

anonymous · Answer

I got 16 for the first.

parthkohli · Answer

Hmm...?

parthkohli · Answer

$16\pi$ is the area of your circle, but how about the trapezium?

anonymous · Answer

It is? I'm confused.

parthkohli · Answer

Wait, okay. 

When you don't know how to do the smart stuff, start with the dumb stuff.

parthkohli · Answer

Here, let's look at this example:|dw:1359291849206:dw|