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Mathematics 13 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

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

OpenStudy (anonymous):

so the first on would be 70.84 in^2?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

okay that makes since for the first one

OpenStudy (anonymous):

on the second one im still not sure what you ment

OpenStudy (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 \[\pi/180\]

OpenStudy (anonymous):

so pi/180=.0174

OpenStudy (anonymous):

What math are you in?

OpenStudy (anonymous):

geometry

OpenStudy (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 \[8.9(4\pi/9)\]

OpenStudy (anonymous):

And your answer would be 12.42 in^2

OpenStudy (anonymous):

okay.. thank you

OpenStudy (anonymous):

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

OpenStudy (anonymous):

ios okay

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