GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 20 Feb 2020, 07:40

### GMAT 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

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

Track

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

# If the circumference of a circle inscribed in a square is 25π, what is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 61345
If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

22 Jun 2018, 00:27
1
15
00:00

Difficulty:

5% (low)

Question Stats:

82% (00:55) correct 18% (00:57) wrong based on 897 sessions

### HideShow timer Statistics

If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?

A. 20

B. 25

C. 40

D. 50

E. 100

NEW question from GMAT® Official Guide 2019

(PS12542)

_________________
Intern
Joined: 21 May 2017
Posts: 40
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

22 Jun 2018, 01:13
2

Diameter of circle = Side of square.
Let diameter be d and side be s.
Circumference = πd = 25π
So, d = 25 = s.
Perimeter = 4s = 100

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Current Student
Joined: 03 Aug 2014
Posts: 18
Schools: Kellogg '21 (A)
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

22 Jun 2018, 01:13
2
πD = 25π => diameter is 25.
Therefore, side of square = 25.
Perimeter = 4*side = 100

Sent from my Pixel using GMAT Club Forum mobile app
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3239
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

22 Jun 2018, 03:39

Solution

Given:
• The circumference of a circle inscribed in a square is 25π

To find:
• The perimeter of the square

Approach and Working:
When a circle is inscribed in a square, the diameter of the circle is equal to the length of the side of the square

If r is the radius of the circle, then
• 2πr = 25π
Or, 2r = 25

Therefore, we can say, length of the side of the square = 25
• Perimeter of the square = 25 * 4 = 100

Hence, the correct answer is option E.

_________________
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4336
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

23 Jun 2018, 08:10
Top Contributor
Bunuel wrote:
If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?

A. 20

B. 25

C. 40

D. 50

E. 100

We have the following:

The perimeter of the circle = 25π

We can see that the perimeter of the square is GREATER THAN the perimeter of the circle

25π ≈ (25)(3) ≈ 75
So, the perimeter of the square is GREATER THAN 25π

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2801
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

27 Jun 2018, 17:06
Bunuel wrote:
If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?

A. 20

B. 25

C. 40

D. 50

E. 100

When a circle is inscribed in a square, the diameter of the circle is equal to the side of the square.

Since circumference = πd, we have:

πd = 25π

d = 25 = side of the square

Thus, the perimeter of the square is 25 x 4 = 100.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 01 Mar 2019
Posts: 23
Location: United States
GMAT 1: 740 Q49 V42
If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

18 Mar 2019, 12:37
[1] Find Diameter

Since the diameter of a circle is equal to the side of a square, finding the circle's diameter will allow us to calculate the square's perimeter.

$$Circumference = Diameter \times \pi$$

$$\frac{25\pi}{\pi} = Diameter$$

$$Diameter = 25$$

[2] Calculate Perimeter

$$Perimeter = 4 \times Side$$

$$Side \equiv Diameter$$

$$25\times 4 = 100$$

Manager
Joined: 24 Sep 2018
Posts: 116
Location: India
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

### Show Tags

17 Jan 2020, 20:15
The perimeter of the circle = 25π

2πr = 25π
So r= 25/2 so Diameter = 2* 25/2 = 25

So the perimeter of the square = 4a = 4* 25 = 100
Re: If the circumference of a circle inscribed in a square is 25π, what is   [#permalink] 17 Jan 2020, 20:15
Display posts from previous: Sort by