SOLUTION: A RANCHER IN Centreville decides to build a silo inside his corral. The rectangular corral measures 23 m by 18 m and the silo's base is circular with a diameter of 2x meters. Find

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A RANCHER IN Centreville decides to build a silo inside his corral. The rectangular corral measures 23 m by 18 m and the silo's base is circular with a diameter of 2x meters. Find       Log On


   

Question 338075: A RANCHER IN Centreville decides to build a silo inside his corral. The rectangular corral measures 23 m by 18 m and the silo's base is circular with a diameter of 2x 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 Centreville decides to build a silo inside his corral.
The rectangular corral measures 23 m by 18 m and the silo's base is circular
with a diameter of 2x meters.
Find a polynomial for the remaining area of the corral (in square meters) after the silo is built.
:
find the area of he corral without the silo
23 * 18 = 414 sq/m
:
Find area of the silo base
If 2x = the diameter
then
x = the radius
A = pi%2Ax%5E2
:
"a polynomial for the remaining area of the corral "
f(x) = 414-%28pi%2Ax%5E2%29
or
f(x) = -pi%2Ax%5E2%2B414