Carcass wrote:

If \(\frac{3}{5}\) of a circular floor is covered by a rectangular rug that is \(x\) feet by \(y\) feet, which of the following represents the distance from the center of the floor to the edge of the floor?

A. \(\frac{5 \sqrt{xy}}{3\pi}\)

B. \(\sqrt{\frac{5xy}{3 \pi}}\)

C. \(\frac{3\pi}{ 5 \sqrt{xy}}\)

D. \(\sqrt{xy}\) \(- \frac{3 \pi}{5}\)

E. \(\sqrt{\frac{3xy}{5\pi}}\)

Here,

We need to find out the radius of the circle

From the ques we know

\(\frac{3}{5}\) of the circle area = area of the rectangle

or \(\frac{3}{5}\) * area of the circle = area of rectangle

or \(\frac{3}{5} * \pi * r^2\)= x * y

or \(r^2\) = \(\frac{5xy}{3 \pi}\)

or r = \(\sqrt{\frac{5xy}{3 \pi}}\)

_________________

If you found this post useful, please let me know by pressing the Kudos Button