SOLUTION: A rancher in Calgary decides to build a silo inside his corral. The rectangular corral measures 22 m by 11 m and the silo's base is circular with a diameter of x meters. Find a pol

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Question 233981: A rancher in Calgary decides to build a silo inside his corral. The rectangular corral measures 22 m by 11 m and the silo's base is circular with a diameter of x meters. Find a polynomial for the remaining area of the corral (in square meters) after the silo is built.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A rancher in Calgary decides to build a silo inside his corral.
The rectangular corral measures 22 m by 11 m and the silo's base is circular with a diameter of x meters.
Find a polynomial for the remaining area of the corral (in square meters) after the silo is built.
:
The area of the corral: 22 * 11 = 242 sq/m
:
The area of the base of the silo: ( radius is half the diameter)
A = pi%2A%28.5x%29%5E2
:
Remaining area = Corral area - silo base area
A(x) = 242 - pi%2A%28.5x%29%5E2
:
A(x) = 242 - pi%2A.25x%5E2
or
A(x) = -.25pi%2Ax%5E2+%2B+242