It is currently 22 Sep 2017, 15:58

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A circle is circumscribed around a square such that all the angles of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
S
Joined: 17 Oct 2016
Posts: 74

Kudos [?]: 27 [1], given: 15

Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Premium Member Reviews Badge CAT Tests
A circle is circumscribed around a square such that all the angles of [#permalink]

Show Tags

New post 25 Aug 2017, 20:22
1
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (01:13) correct 6% (00:00) wrong based on 34 sessions

HideShow timer Statistics

A circle is circumscribed around a square such that all the angles of the squares lie on circumference. What is the area of the circle, if area of the square is 100 units?

A. 131

B. 137

C. 157

D. 161

E. 174
[Reveal] Spoiler: OA

_________________

Sometimes you have to burn yourself to the ground before you can rise like a phoenix from the ashes.

Dr. Pratik



Kudos [?]: 27 [1], given: 15

Senior Manager
Senior Manager
User avatar
G
Joined: 02 Mar 2017
Posts: 266

Kudos [?]: 174 [0], given: 20

Location: India
Concentration: Finance, Marketing
Re: A circle is circumscribed around a square such that all the angles of [#permalink]

Show Tags

New post 26 Aug 2017, 02:03
The side of the square will be 10...
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}

Area equals 3.14*25*2
= 157
_________________

Kudos-----> If my post was Helpful

Kudos [?]: 174 [0], given: 20

Manager
Manager
User avatar
S
Joined: 17 Oct 2016
Posts: 74

Kudos [?]: 27 [0], given: 15

Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Premium Member Reviews Badge CAT Tests
Re: A circle is circumscribed around a square such that all the angles of [#permalink]

Show Tags

New post 26 Aug 2017, 23:02
VyshakhR1995 wrote:
The side of the square will be 10...
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}

Area equals 3.14*25*2
= 157


this will hold true for all circumscribed squares.

So we can get a general formula
Area of a circle = 1.57 X Area of square it circumscribes
_________________

Sometimes you have to burn yourself to the ground before you can rise like a phoenix from the ashes.

Dr. Pratik



Kudos [?]: 27 [0], given: 15

Intern
Intern
avatar
Joined: 25 Aug 2017
Posts: 2

Kudos [?]: 0 [0], given: 11

Re: A circle is circumscribed around a square such that all the angles of [#permalink]

Show Tags

New post 20 Sep 2017, 04:44
fitzpratik wrote:
VyshakhR1995 wrote:
The side of the square will be 10...
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}

Area equals 3.14*25*2
= 157


this will hold true for all circumscribed squares.

So we can get a general formula
Area of a circle = 1.57 X Area of square it circumscribes

is there any formula for Area of circle if we know the are of square it inscribes?

Kudos [?]: 0 [0], given: 11

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41688

Kudos [?]: 124488 [0], given: 12079

Re: A circle is circumscribed around a square such that all the angles of [#permalink]

Show Tags

New post 20 Sep 2017, 05:07
johneagle2776 wrote:
fitzpratik wrote:
VyshakhR1995 wrote:
The side of the square will be 10...
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}

Area equals 3.14*25*2
= 157


this will hold true for all circumscribed squares.

So we can get a general formula
Area of a circle = 1.57 X Area of square it circumscribes

is there any formula for Area of circle if we know the are of square it inscribes?


Say the area of an inscribed square is x unit^2 --> the area of a circle = \(\frac{diagonal^2}{2} = x\)

The diagonal of an inscribed square = the diameter of a circle.

The area of a circle = \(\pi r^2 = \pi *(\frac{diameter}{2})^2 = \pi *(\frac{diagonal}{2})^2 = \pi * \frac{diagonal^2}{4}=\pi *\frac{x}{2}\).

But memorising this formula would be waste of time. It's MUCH better to know/understand the logic behind it.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 124488 [0], given: 12079

Re: A circle is circumscribed around a square such that all the angles of   [#permalink] 20 Sep 2017, 05:07
    Similar topics Author Replies Last post
Similar
Topics:
EXPERTS_POSTS_IN_THIS_TOPIC A unit square is circumscribed about a circle. If the circumference of rohan2345 1 20 May 2017, 06:51
33 EXPERTS_POSTS_IN_THIS_TOPIC The circle above circumscribes square ABCD. What is the valu rafi 19 03 Aug 2017, 22:48
3 EXPERTS_POSTS_IN_THIS_TOPIC If a circle is circumscribed around a quadrilateral, as shown above, w alpham 2 13 Jul 2016, 04:55
16 If a circle is circumscribed around a regular pentagon, as shown above kinjiGC 13 31 Jul 2016, 17:34
4 EXPERTS_POSTS_IN_THIS_TOPIC The circle above is circumscribed around square ABCD. Points E and F Bunuel 4 22 Sep 2016, 05:17
Display posts from previous: Sort by

A circle is circumscribed around a square such that all the angles of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.