GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If 3/5 of a circular floor is covered by a rectangular rug t
[#permalink]
27 Jun 2018, 09:23
27 Jun 2018, 09:23
1
Expert Reply
00:00
Question Stats:
89% (01:37) correct
10% (02:43) wrong based on 19 sessions
Hide Show timer Statistics
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. \(\sqrt{\frac{3xy}{5\pi}}\)
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. \(\sqrt{\frac{3xy}{5\pi}}\)
Re: If 3/5 of a circular floor is covered by a rectangular rug t
[#permalink]
28 Jun 2018, 11:45
28 Jun 2018, 11:45
1
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. \(\sqrt{\frac{3xy}{5\pi}}\)
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. \(\sqrt{\frac{3xy}{5\pi}}\)
Without a diagram took me 3:45 mins time to solve this and unnecessarily started to draw vague diagram. Later realized the solution properly.
Follow the below diagram.
When it is mentioned that 3/5 circle area that means out of 5 parts 3 parts area is equal to rectangle area.
i.e. xy (area of rectangle) = 3/5 ( pi * r^2 ) .
=> \(\sqrt{\frac{5xy}{3 \pi}}\).
Attachments
cir.PNG [ 17.95 KiB | Viewed 2706 times ]
Re: If 3/5 of a circular floor is covered by a rectangular rug t
[#permalink]
28 Jun 2018, 12:16
28 Jun 2018, 12:16
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. \(\sqrt{\frac{3xy}{5\pi}}\)
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 = \(\sqrt{\frac{5xy}{3 \pi}}\)
