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

 It is currently 02 Jul 2020, 07:52

### 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

# In the semicircle with center O, which of the following is the best es

Author Message
TAGS:

### Hide Tags

Current Student
Joined: 05 Mar 2017
Posts: 185
Concentration: Operations, General Management
In the semicircle with center O, which of the following is the best es  [#permalink]

### Show Tags

Updated on: 14 Aug 2018, 05:15
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

62% (02:13) correct 38% (02:23) wrong based on 86 sessions

### HideShow timer Statistics

In the semicircle with center O, which of the following is the best estimate for the distance between points P and Q?

(A).33
(B)1.42
(C)1.73
(D)2.65
(E)2.82

Attachments

image.JPG [ 3.78 KiB | Viewed 1047 times ]

Originally posted by targetbusiness on 14 Aug 2018, 04:51.
Last edited by targetbusiness on 14 Aug 2018, 05:15, edited 1 time in total.
Intern
Joined: 13 Aug 2018
Posts: 1
Re: In the semicircle with center O, which of the following is the best es  [#permalink]

### Show Tags

14 Aug 2018, 05:13
1
1
Its a right angle triangle with 2 sides being 2 each. Using pythagoras, hypotenuse PQ would be 2.82
Math Expert
Joined: 02 Aug 2009
Posts: 8738
Re: In the semicircle with center O, which of the following is the best es  [#permalink]

### Show Tags

14 Aug 2018, 05:17
3
siddreal wrote:
In the semicircle with center O, which of the following is the best estimate for the distance between points P and Q?

(A).33
(B)1.42
(C)1.73
(D)2.65
(E)2.82

OPQ is isosceles right angled triangle so PQ =2√2=2*1.4=2.8

E
_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 950
WE: Supply Chain Management (Energy and Utilities)
Re: In the semicircle with center O, which of the following is the best es  [#permalink]

### Show Tags

14 Aug 2018, 05:22
abhishekgup wrote:
Its a right angle triangle with 2 sides being 2 each. Using pythagoras, hypotenuse PQ would be 2.82

$$hypotenuse=2*\sqrt{2}=2.82$$ (Approx.)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Manager
Joined: 28 Jun 2018
Posts: 71
Re: In the semicircle with center O, which of the following is the best es  [#permalink]

### Show Tags

13 Sep 2018, 04:59
chetan2u hi this might seem like a stupid question but for the life of me i can't understand how you got the radius to be 2?
Math Expert
Joined: 02 Aug 2009
Posts: 8738
Re: In the semicircle with center O, which of the following is the best es  [#permalink]

### Show Tags

13 Sep 2018, 05:05
1
1
hibobotamuss wrote:
chetan2u hi this might seem like a stupid question but for the life of me i can't understand how you got the radius to be 2?

Hi..
Point P is on circumference and center is origin..
So the radius is the distance of P from origin..
P is given as (-√3,1) that is x is -√3 and y is 1 so it's a right angled triangle at 0 with sides -√3 and 1 and radius is the hypotenuse
$$r^2=(-√3)^2+1^2=3+1=4.....r=2$$
_________________
Re: In the semicircle with center O, which of the following is the best es   [#permalink] 13 Sep 2018, 05:05