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A family is having a pool built in their backyard. Their yard is rectangular and measures 14x by 19x and the pool is circular with a radius of 6x. How much of the yard will be l…
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A family is having a pool built in their backyard. Their yard is rectangular and measures 14x by 19x and the pool is circular with a radius of 6x. How much of the yard will be l…
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May 6, 2017
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A family is having a pool built in their backyard. Their yard is rectangular and measures 14x by 19x and the pool is circular with a radius of 6x. How much of the yard will be left over after the pool is built?
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You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.
Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi
Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi
Take 2x^2 as a common factor:
2x^2(133-18pi)
D:
2x^2(133-18pi)
Hope this helps :)
Gary Bak
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May 11, 2017
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