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

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Interact for GRE is a revolutionary learning experience made for you, the busy grad school applicant who needs prep that’s both flexible and comprehensive. It’s like having a GRE teacher with you anywhere you are. Press play to learn more.

Free Video Modules Within each of the 16 learning modules (Geometry, Statistics, Sentence Equivalence, etc.) that comprise the course, you'll find plenty of free videos to help you make an informed purchase.

In the ﬁgure above, the diameter of the circle is 10. [#permalink]
12 Dec 2015, 06:49

Expert's post

00:00

Question Stats:

70% (00:48) correct
29% (00:57) wrong based on 48 sessions

Attachment:

#GREpracticequestion The area of quadrilateralABCD.jpg [ 9.19 KiB | Viewed 2695 times ]

In the figure above, the diameter of the circle is 10.

Quantity A

Quantity B

The area of quadrilateral ABCD

40

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Practice Questions Question: 3 Page: 151 Difficulty: medium

Re: In the ﬁgure above, the diameter of the circle is 10. [#permalink]
01 Oct 2019, 10:15

2

This post received KUDOS

Expert's post

Carcass wrote:

Attachment:

#GREpracticequestion The area of quadrilateralABCD.jpg

In the figure above, the diameter of the circle is 10.

Quantity A

Quantity B

The area of quadrilateral ABCD

40

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Practice Questions Question: 3 Page: 151 Difficulty: medium

First of all, it's important not to read too much into the diagram. All we can glean from the diagram is that we have a quadrilateral that is inscribed in the circle. That's it!

So, first recognize that the inscribed quadrilateral COULD be a very very very narrow rectangle like this.

Notice that this quadrilateral COULD be so thin that its area is very very close to zero. So, for this particular quadrilateral we get: Quantity A: a very very small area that's close to zero Quantity B: 40 In this case, Quantity B is greater.

Alternatively, we COULD make the quadrilateral quite large. In fact, we could make it a SQUARE.

So, if the inscribed quadrilateral is a square, what is its area? To find out, let's draw a diagonal.

One of our circle properties tells us that this diagonal must be the diameter of the circle, which we know is 10 To find the area of the square, we need to know the length of each side. So, let's let x = the length of each side.

Since ACD is a RIGHT TRIANGLE, we can apply the Pythagorean Theorem to get: x² + x² = 10² Simplify to get 2x² = 100 Divide both sides by 2 to get: x² = 50

This means the area of the square = 50 We know this because the area of the square = (x)(x) = x², and we just learned that x² = 50

So, for this particular quadrilateral we get: Quantity A: 50 Quantity B: 40 In this case, Quantity A is greater.

Answer: D

RELATED VIDEO

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails

greprepclubot

Re: In the ﬁgure above, the diameter of the circle is 10.
[#permalink]
01 Oct 2019, 10:15