SOLUTION: A car's rear windshield wiper rotates 120 degree's, find the area covered by the wiper. the wiperblade length is 25 and the width of the covered area is 14.

Question 182421This question is from textbook
: A car's rear windshield wiper rotates 120 degree's, find the area covered by the wiper. the wiperblade length is 25 and the width of the covered area is 14.This question is from textbook

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(48564) (Show Source):
You can put this solution on YOUR website!
A car's rear windshield wiper rotates 120 degree's, find the area covered by the wiper. the wiperblade length is 25 and the width of the covered area is 14.
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A circle with radius 25 has area (pi)625
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A circle with radius (25-14) = 11 has area (pi)121
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If the wiperblade covered 360 degrees the covered area
would be 625(pi)-121(pi) = 504(pi) sq units
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Since the blade sweeps only 120 degrees the area is
(1/3)504(pi) = 168(pi)sq units
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Cheers,
Stan H.

Answer by solver91311(12126) (Show Source):
You can put this solution on YOUR website!

Find the area of a circle of radius 25. From that, subtract the area of a circle of radius 11 (because 25 - 14 = 11). Divide that result by 3 (because 120 is one-third of 360).

square units.

Which is the exact answer. If you want a numerical approximation, round to the nearest square units because your given measurements are to the nearest unit.

And remember: The fattest guy at King Arthur's Round Table was Sir Cumference. He got that way eating too much .

John