SOLUTION: A circular pond will be placed on a square piece of land. The length of a side of the square is 2x. The radius of the pond is x. The part of the square not covered by the pond wi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A circular pond will be placed on a square piece of land. The length of a side of the square is 2x. The radius of the pond is x. The part of the square not covered by the pond wi      Log On


   



Question 333853: A circular pond will be placed on a square piece of land. The length of a side of the
square is 2x. The radius of the pond is x. The part of the square not covered by the
pond will be planted with flowers. What is the area of the region that will be planted
with flowers? Write your answer in factored form.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A circular pond will be placed on a square piece of land. The length of a side of the square is 2x.
The radius of the pond is x.
The part of the square not covered by the pond will be planted with flowers.
What is the area of the region that will be planted with flowers?
:
let f = area planted in flowers
:
f = square area - pond area
f = %282x%29%5E2 - pi%2Ax%5E2
f = 4x%5E2 - pi%2Ax%5E2
Factor out x^2
f = x%5E2%284+-+pi%29
or
f = .8584x^2