GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Jan 2019, 22:32

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.

# In circle O above, if ΔPOQ is a right triangle and radius OP is 2, wha

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52110
In circle O above, if ΔPOQ is a right triangle and radius OP is 2, wha  [#permalink]

### Show Tags

10 Jan 2019, 01:27
00:00

Difficulty:

(N/A)

Question Stats:

91% (00:44) correct 9% (01:00) wrong based on 11 sessions

### HideShow timer Statistics

In circle O above, if ΔPOQ is a right triangle and radius OP is 2, what is the area of the shaded region?

A. 4π− 2
B. 4π− 4
C. 2π− 2
D. 2π− 4
E. π – 2

Attachment:

2019-01-10_1324.png [ 14.59 KiB | Viewed 135 times ]

_________________
Manager
Joined: 01 May 2017
Posts: 63
Location: India
Re: In circle O above, if ΔPOQ is a right triangle and radius OP is 2, wha  [#permalink]

### Show Tags

10 Jan 2019, 02:03
In circle O above, if ΔPOQ is a right triangle and radius OP is 2, what is the area of the shaded region?

Given,
ΔPOQ is a right triangle
implies OQ = 2 (as it is the radius)
Area of the Circle = $$Pi*r^2$$
= $$4*Pi$$

Area of the Triangle = $$1/2*base*height$$
= $$1/2*2*2$$
= 2

Area of the quarter circle = Area of the Circle/4 = Pi
implies area of the shaded region = Area of the quarter circle - area of the right triangle
= Pi - 2

Option E is correct
VP
Joined: 18 Aug 2017
Posts: 1150
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
Re: In circle O above, if ΔPOQ is a right triangle and radius OP is 2, wha  [#permalink]

### Show Tags

10 Jan 2019, 04:48
Bunuel wrote:

In circle O above, if ΔPOQ is a right triangle and radius OP is 2, what is the area of the shaded region?

A. 4π− 2
B. 4π− 4
C. 2π− 2
D. 2π− 4
E. π – 2

Attachment:
2019-01-10_1324.png

area of triangle opq = 0.5*2*2 = 2
opq is 1/4 of the circle ; 2*pi*2*.25 = pi
so shaded area = pi-2 IMO E
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Re: In circle O above, if ΔPOQ is a right triangle and radius OP is 2, wha &nbs [#permalink] 10 Jan 2019, 04:48
Display posts from previous: Sort by