SOLUTION: the radius of a circle is 6 inches what is the area of a sector bounded by a central angle measuring 2 pi/3 radius?

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Question 1084026: the radius of a circle is 6 inches what is the area of a sector bounded by a central angle measuring 2 pi/3 radius?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The entire area is:
+pi%2Ar%5E2+=+pi%2A6%5E2+
+pi%2Ar%5E2+=+36%2Api+
+pi%2Ar%5E2+=+113.097+ in2
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There are +2%2Api+ radians in a circle
I can use this ratio:
+%28+%282%2Api%29+%2F+3+%29+%2F+%28+2%2Api+%29+=+x+%2F+113.097+
+%28+2%2F3+%29+%2F+2+=+x+%2F+113.097+
+1+%2F+3+=+x+%2F+113.097+
+113.097+=+3x+
+x+=+37.7+
The area of the sector is 37.7 in2
check the math