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

 It is currently 18 Nov 2018, 19:07

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
• ### The winning strategy for 700+ on the GMAT

November 20, 2018

November 20, 2018

06:00 PM EST

07:00 PM EST

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.

# The figure above represents a bicycle path. If the semicircular portio

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50627
The figure above represents a bicycle path. If the semicircular portio  [#permalink]

### Show Tags

14 Nov 2017, 22:47
00:00

Difficulty:

35% (medium)

Question Stats:

75% (02:19) correct 25% (02:57) wrong based on 34 sessions

### HideShow timer Statistics

The figure above represents a bicycle path. If the semicircular portion ABC is 100π meters long and portion CD is 100 meters long, how many meters long is portion AD?

(A) 150
(B) 200
(C) 50π
(D) 100√2
(E) 100√3

Attachment:

2017-11-15_1036_002.png [ 11.37 KiB | Viewed 634 times ]

_________________
Manager
Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: The figure above represents a bicycle path. If the semicircular portio  [#permalink]

### Show Tags

15 Nov 2017, 00:17
P*d/2=100*P
d=200=AC
Using Pythagorean equation:
Director
Joined: 09 Mar 2017
Posts: 516
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Re: The figure above represents a bicycle path. If the semicircular portio  [#permalink]

### Show Tags

15 Nov 2017, 08:41
Bunuel wrote:

The figure above represents a bicycle path. If the semicircular portion ABC is 100π meters long and portion CD is 100 meters long, how many meters long is portion AD?

(A) 150
(B) 200
(C) 50π
(D) 100√2
(E) 100√3

Attachment:
2017-11-15_1036_002.png

circumference of semicircle = pi(r) = 100 (pi)
r = 100 meters
given CD = 100 and diameter AC subtends an angle of 90 degree. This means D lie on the circle.
---E---
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4224
Location: India
GPA: 3.5
Re: The figure above represents a bicycle path. If the semicircular portio  [#permalink]

### Show Tags

15 Nov 2017, 09:53
Bunuel wrote:

The figure above represents a bicycle path. If the semicircular portion ABC is 100π meters long and portion CD is 100 meters long, how many meters long is portion AD?

(A) 150
(B) 200
(C) 50π
(D) 100√2
(E) 100√3

Attachment:
The attachment 2017-11-15_1036_002.png is no longer available

Attachment:

2017-11-15_1036_002.png [ 11.37 KiB | Viewed 407 times ]

$$πr = 100π$$

So, $$r = 100$$

Or, $$AC = 200$$

$$AC^2 = AD^2 + CD^2$$

$$200^2 = AD^2 + 100^2$$

Or, $$AD^2 = 200^2 - 100^2$$

Or, $$AD = \sqrt{300*100}$$

Or, $$AD = 100\sqrt{3}$$ answer will be (E)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: The figure above represents a bicycle path. If the semicircular portio &nbs [#permalink] 15 Nov 2017, 09:53
Display posts from previous: Sort by