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- anonymous

How would you find the area of the shaded regions in these two pictures

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- anonymous

How would you find the area of the shaded regions in these two pictures

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- anonymous

- anonymous

First one is \[\pi r ^{2}\]
Second one is
\[sr \theta\]
Change your theta to radians for the second one.

- anonymous

so the first on would be 70.84 in^2?

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- anonymous

The equation for the first one should look like
\[\pi(4.75)^{2}\]

- anonymous

So sqaure 4.75 and then multiply it by \[\pi\]

- anonymous

okay that makes since for the first one

- anonymous

on the second one im still not sure what you ment

- anonymous

Ah sorry I wrote that wrong it is \[S = r \theta\]
This means the area of the shaded region is equal to the radius multiplied by the angle. Change the angle to radians by multiplying it by
\[\pi/180\]

- anonymous

so pi/180=.0174

- anonymous

What math are you in?

- anonymous

geometry

- anonymous

Ah no wonder. Lol. I'm trying to make you use trig methods.
Here,
Multiply the 80 or whatever that is on the outside of that shaded region by \[\pi/180\]
Then you simply that to get \[8\pi/18\] Which can be simplified further to \[4\pi/9\] Now you multiply, I beliebe it says 8.9?, by that using 3.14 for pi.
Itd look like this \[8.9(4\pi/9)\]

- anonymous

And your answer would be 12.42 in^2

- anonymous

okay.. thank you

- anonymous

Sorry if that's confusing :S
It's trigonometry.

- anonymous

ios okay

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