It is currently 13 Dec 2017, 05:25

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


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

In the figure above, O is the center of the circle, and B is a point

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42579

Kudos [?]: 135467 [0], given: 12695

In the figure above, O is the center of the circle, and B is a point [#permalink]

Show Tags

New post 14 Nov 2017, 00:17
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:01) correct 0% (00:00) wrong based on 27 sessions

HideShow timer Statistics

Image
In the figure above, O is the center of the circle, and B is a point on the circle. In rectangle OABC, if OA = 4 and OC = 5, what is the area of the circle?

(A) 9π
(B) 16π
(C) 25π
(D) 41π
(E) 64π

[Reveal] Spoiler:
Attachment:
2017-11-14_1157.png
2017-11-14_1157.png [ 6.09 KiB | Viewed 360 times ]
[Reveal] Spoiler: OA

_________________

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 [?]: 135467 [0], given: 12695

Manager
Manager
User avatar
S
Joined: 17 Oct 2016
Posts: 148

Kudos [?]: 38 [0], given: 89

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
GMAT ToolKit User Premium Member
In the figure above, O is the center of the circle, and B is a point [#permalink]

Show Tags

New post 14 Nov 2017, 00:57
D 41.pi

OA=4 and OC=5 are the sides of a right triangle formed by the diagonal AC. We know that OA=OB=radius. Hence OB by pythogoras theorem is sqrt(41). Hence area=41.pi


Sent from my iPhone using GMAT Club Forum mobile app
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 38 [0], given: 89

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1119

Kudos [?]: 400 [0], given: 640

In the figure above, O is the center of the circle, and B is a point [#permalink]

Show Tags

New post 14 Nov 2017, 08:46
Bunuel wrote:
Image
In the figure above, O is the center of the circle, and B is a point on the circle. In rectangle OABC, if OA = 4 and OC = 5, what is the area of the circle?

(A) 9π
(B) 16π
(C) 25π
(D) 41π
(E) 64π

[Reveal] Spoiler:
Attachment:
2017-11-14_1157.png

Rectangle OABC's diagonal = hypotenuse of right triangle ABO = radius of the circle.

If OC = 5, AB = 5 = one leg
OA = 4 = other leg
The sum of the squares of the legs of a right triangle equal the hypotenuse squared, where the hypotenuse = the radius.

\(4^2 + 5^2 = r^2\)
\(16 + 25 = r^2\)
\(r = \sqrt{41}\)

Circle area =
\(\pi*r^2 = \pi*(\sqrt{41})^2 = 41\pi\)

Answer D

Kudos [?]: 400 [0], given: 640

In the figure above, O is the center of the circle, and B is a point   [#permalink] 14 Nov 2017, 08:46
Display posts from previous: Sort by

In the figure above, O is the center of the circle, and B is a point

  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®.