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. 
:
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*(.5x)^2}}}
:
Remaining area = Corral area - silo base area
A(x) = 242 - {{{pi*(.5x)^2}}} 
:
A(x) = 242 - {{{pi*.25x^2}}}
or
A(x) = {{{-.25pi*x^2 + 242}}}