SOLUTION: A 2-m by 3-m rug is spread inside a tepee that has a diameter of x meters. find a polynomial for the area of the tepee's floor that is not covered.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A 2-m by 3-m rug is spread inside a tepee that has a diameter of x meters. find a polynomial for the area of the tepee's floor that is not covered.      Log On


   

Question 881675: A 2-m by 3-m rug is spread inside a tepee that has a diameter of x meters. find a polynomial for the area of the tepee's floor that is not covered.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Area of circle:


A+=+pi%2Ar%5E2


A+=+pi%2A%28x%2F2%29%5E2 The diameter is x, so the radius is half that x%2F2


A+=+%28pi%2F4%29%2Ax%5E2


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Area of Rectangle:


A+=+L%2AW


A+=+2%2A3


A+=+6


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Difference: %28pi%2F4%29%2Ax%5E2+-+6