SOLUTION: I need to find radius of circle with given information - shaded area of circle is 40 degrees and area of that shaded area is 59in^2. I understand how to find area when given radiu

Algebra ->  Parallelograms -> SOLUTION: I need to find radius of circle with given information - shaded area of circle is 40 degrees and area of that shaded area is 59in^2. I understand how to find area when given radiu      Log On


   

Question 305866: I need to find radius of circle with given information - shaded area of circle is 40 degrees and area of that shaded area is 59in^2. I understand how to find area when given radius or diameter but need help with this. I'm working on Sector area and arc length.
Thanks for your help.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find radius of circle with given information - shaded area of circle is 40 degrees and area of that shaded area is 59in^2.
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40 degs is 1/9 of the circle, so the area of the whole circle = 59*9
= 531 sq in
r+=+sqrt%28531%2Fpi%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find radius of circle with given information - shaded area of circle is 40 degrees and area of that shaded area is 59in^2.
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# of such sectors in the circle = 360/40 = 9
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9*59 = 531 sq in (total area of the circle)
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Solve for "r":
(pi)r^2 = 531 sq.in
r^2 is very close to 169.0225
r = 13 inches
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Cheers,
Stan H.

I understand how to find area when given radius or diameter but need help with this. I'm working on Sector area and arc length.