anonymous
  • anonymous
How would you find the area of the shaded regions in these two pictures
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
First one is \[\pi r ^{2}\] Second one is \[sr \theta\] Change your theta to radians for the second one.
anonymous
  • anonymous
so the first on would be 70.84 in^2?

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anonymous
  • anonymous
The equation for the first one should look like \[\pi(4.75)^{2}\]
anonymous
  • anonymous
So sqaure 4.75 and then multiply it by \[\pi\]
anonymous
  • anonymous
okay that makes since for the first one
anonymous
  • anonymous
on the second one im still not sure what you ment
anonymous
  • 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
  • anonymous
so pi/180=.0174
anonymous
  • anonymous
What math are you in?
anonymous
  • anonymous
geometry
anonymous
  • 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
  • anonymous
And your answer would be 12.42 in^2
anonymous
  • anonymous
okay.. thank you
anonymous
  • anonymous
Sorry if that's confusing :S It's trigonometry.
anonymous
  • anonymous
ios okay

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