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

 It is currently 12 Dec 2018, 04:03

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# Side AB of triangle ABC lies on the diameter of circle O as shown in

Author Message
Manager
Joined: 01 May 2016
Posts: 82
Location: United States
GPA: 3.8
Side AB of triangle ABC lies on the diameter of circle O as shown in  [#permalink]

### Show Tags

18 Feb 2018, 23:44
00:00

Difficulty:

75% (hard)

Question Stats:

64% (01:37) correct 36% (03:03) wrong based on 33 sessions

### HideShow timer Statistics

Attachment:

8.png [ 16.8 KiB | Viewed 447 times ]

Side AB of triangle ABC lies on the diameter of circle O as shown in the figure above. Half of the height to side AB equals 4/5 of the radius of the circle.

If the area of triangle ABC is 90, what is the closest approximation to the area of semicircle AOB?

a 35

b 45

c 88

d 180

e 350

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

TD

Manager
Joined: 22 Jun 2016
Posts: 245
Re: Side AB of triangle ABC lies on the diameter of circle O as shown in  [#permalink]

### Show Tags

19 Feb 2018, 01:48
Let radius of circle be r and height h.
Given. Area of triangle ABC = 1/2 * AB * h = 1/2 * 2r * h = r*h = 90. -------1
Also, given that 1/2 h = 4/5 r ----> h=8/5*r -------2

From 1 and 2,
r*(8/5)*r=90
r^2=225/4
r=15/2

Area of semicircle = 1/2 * pi * r^2 = 1/2 * 3.14 * 225/4 = 88 (approx)

_________________

P.S. Don't forget to give Kudos

Intern
Joined: 26 Sep 2016
Posts: 23
Location: India
Schools: XLRI
GMAT 1: 580 Q48 V19
Re: Side AB of triangle ABC lies on the diameter of circle O as shown in  [#permalink]

### Show Tags

19 Feb 2018, 08:29
Hi chetan2u , i am unable to interpret the expression for the statement "Half of the height to side AB equals 4/5 of the radius of the circle".

Requesting you to clarify.

Raju
Math Expert
Joined: 02 Aug 2009
Posts: 7102
Re: Side AB of triangle ABC lies on the diameter of circle O as shown in  [#permalink]

### Show Tags

19 Feb 2018, 08:38
gvvsnraju@12 wrote:
Hi chetan2u , i am unable to interpret the expression for the statement "Half of the height to side AB equals 4/5 of the radius of the circle".

Requesting you to clarify.

Raju

Hi Raju,

The height of C from AB means perpendicular from C o AB when B is further extended to right of B..
So say AB when extended meets Perpendicular from C at E..
So CE is 4/5 of half of AB..
I'll attach a figure after some time as I am outside.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Intern
Joined: 26 Sep 2016
Posts: 23
Location: India
Schools: XLRI
GMAT 1: 580 Q48 V19
Re: Side AB of triangle ABC lies on the diameter of circle O as shown in  [#permalink]

### Show Tags

19 Feb 2018, 09:28
Got it now chetan2u .

Thanks for clarification.

In fact i misinterpreted " Half of the height to side AB equals 4/5 of the radius of the circle " as height/AB = 4/5 X 1/2 X radius

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Side AB of triangle ABC lies on the diameter of circle O as shown in &nbs [#permalink] 19 Feb 2018, 09:28
Display posts from previous: Sort by