BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If the figure below is a square with a side of 4 units...

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2505
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members

If the figure below is a square with a side of 4 units...

by BTGmoderatorLU » Sun Jan 21, 2018 8:10 am
If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?

Image

A. π
B. 4
C. 8
D. 13
E. 16

The OA is D.

Experts, I think that this PS question is very simple,

If the side of square is 4, that's mean that the radius of the circle is 2, then the area of the circle will be,
$$A=\pi\cdot r^2=4\pi=12.5\approx13$$
Any other suggestion about how to solve it? Thanks in advance.
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 555
Joined: Wed Oct 04, 2017 4:18 pm
Thanked: 180 times
Followed by:12 members

by EconomistGMATTutor » Sun Jan 21, 2018 10:33 am
LUANDATO wrote:If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?

Image

A. π
B. 4
C. 8
D. 13
E. 16

The OA is D.

Experts, I think that this PS question is very simple,

If the side of square is 4, that's mean that the radius of the circle is 2, then the area of the circle will be,
$$A=\pi\cdot r^2=4\pi=12.5\approx13$$
Any other suggestion about how to solve it? Thanks in advance.
Hi LUANDATO,

You have followed the perfectly right approach.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

Image
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

answer

by [email protected] » Sun Jan 21, 2018 10:36 am
Hi LUANDATO,

Your approach to this question is spot-on. You might save a little time by using the answers to your advantage though. Since the area of the square is (4)(4) = 16, the area of the circle has to be a bit less than that... and there's only one answer that really fits that logic. In that same way, since we know that pi is 3.14....., once you know the radius is 2, then you know that the area is a bit more than 12.... and there's only one answer that really fits that logic. In both cases, you would have the correct answer.

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 am
Location: New York, NY
Thanked: 39 times
Followed by:22 members

by Jeff@TargetTestPrep » Tue Jan 23, 2018 9:16 am
LUANDATO wrote:If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?

Image

A. π
B. 4
C. 8
D. 13
E. 16
Since the square has a side of 4, the diameter of the circle is 4, and the radius is 2.

Thus, the area is π x 2^2 = 4π ≈ 4 x 3.14 = 12.56. The nearest integer to 12.56 is 13.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
Top
Post new topic Post Reply
• Page 1 of 1