Question

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)

Answer 1

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)