SOLUTION: what is the area of a sector of a circle whose central angle measures 45 degrees? the radius is 6 feet. leave answers in terms of pie.

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Question 481602: what is the area of a sector of a circle whose central angle measures 45 degrees? the radius is 6 feet. leave answers in terms of pie.
Answer by Earlsdon(6294) About Me  (Show Source):
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A central angle of 45 degrees subtends one eighth of the entire circle, so the area of the sector here would be one eighth of the area of the entire circle.
A%5Bs%5D+=+%281%2F8%29%28pi%29r%5E2 Substitute r = 6.
A%5Bs%5D+=+%281%2F8%29%28pi%296%5E2
A%5Bs%5D+=+%2836%2F8%29%28pi%29
A%5Bs%5D+=+4.5%28pi%29sq.ft.