A family is building a circular fountain in the backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. What's the area of the remaining yard?
A. 230piex^2
B. 230x^2
C. 266x^2
D. 2x^2(133-18pie)
Remaining yard area = Rectangular yard area- circular fountain area Rectangular area = LxW where L= 19x W= 14x substitute the variables = 14x x 19 x = 266 x^2 circular fountain area = pi r^2 where r = 6x subsitute the variable = 36pi x^2 remaining yard area = 266x^2-36pix^2 = 2x^2(133-18pie) The answer would be letter D. 2x^2(133-18pie)
