A family is building a circular fountain in the backyard. the yard is rectangular and measures 10x by 15x and the fountain is going to be cirxular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
A. 2x^2(75-8Π)
B.150x^2-4Πx^2)
C.134Πx^2
D.134x^2

Question

A family is building a circular fountain in the backyard. the yard is rectangular and measures 10x by 15x and the fountain is going to be cirxular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
A. 2x^2(75-8Π)
B.150x^2-4Πx^2)
C.134Πx^2
D.134x^2

mathstudent55 · Answer

Find the area of the rectangle.
Find the area of the circle.
Subtract the area of the circle from the area of the rectangle.

$\Large A_{rectangle} = length \times width$

$\Large A_{circle} = \pi r^2$

cookiemonster18 · Answer

I think the answer is A, am I correct

cookiemonster18 · Answer

@mathstudent55

mathstudent55 · Answer

Correct.