SOLUTION: Find the area of the shaded region of a circle. The Shaded is 100/360 an r=5

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Question 281401: Find the area of the shaded region of a circle. The Shaded is 100/360 an r=5
Answer by Mathematicians(84) About Me  (Show Source):
You can put this solution on YOUR website!
There a couple key points what you need to know before solving this problem. The first one is the area of a circle. If A is the area of a circle then:
A+=+pi%2Ar%5E2
However, that is an area of an entire circle, we only want 100/360 of a circle. Simplifying 100/360 gives you 10/36 = 5/18
So if X is the area of the shaded part of a circle then your formula is:
X+=+5%2F18+%2A+pi+%2A+r%5E2
our r = 5, so finally
X+=+5%2F18+%2A+pi+%2A+5%5E2+=+125%2F18+%2A+pi
I hope this helps!