R,T,U...circle

Expert replies

puneetdua: Senior | Next Rank: 100 Posts; Posts: 87; Joined: Wed Jun 16, 2010 7:57 pm; Location: Delhi,India; Thanked: 1 times

by puneetdua » Sat Sep 18, 2010 6:46 am

Hi

This Question is already discussed - but want to discuss one more time so opening a new thread -

The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is 4*Pi/3 , what is the length of line segment RU?

A. 4/3
B. 8/3
C. 3
D. 4
E. 6

i was solving the below mentioned way -

Radius - 4
So circumfrence - 2*Pi*R -> 8*Pi

Length of RTU - > 4*Pi/3

So length of RU shd be circumfrence - RTU -> 8*Pi -4*Pi/3

but this is not working, not able to get answer as mentioned in choices.

Can you please elaborate - how am doing it wrong and can you please suggest solution also .

Thanks
Puneet

Source: Beat The GMAT — Problem Solving | Sat Sep 18, 2010 6:46 am

diebeatsthegmat: Legendary Member; Posts: 1119; Joined: Fri May 07, 2010 8:50 amFollowed by: 3 members; Thanked: 29 times

by diebeatsthegmat » Sat Sep 18, 2010 9:42 am

puneetdua wrote:Hi

This Question is already discussed - but want to discuss one more time so opening a new thread -

The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is 4*Pi/3 , what is the length of line segment RU?

A. 4/3
B. 8/3
C. 3
D. 4
E. 6

i was solving the below mentioned way -

Radius - 4
So circumfrence - 2*Pi*R -> 8*Pi

Length of RTU - > 4*Pi/3

So length of RU shd be circumfrence - RTU -> 8*Pi -4*Pi/3

but this is not working, not able to get answer as mentioned in choices.

Can you please elaborate - how am doing it wrong and can you please suggest solution also .

sorry, i will do my way then you see where your solution is wrong, ok? consider O is the center of the circle
length of arc RTU=angle O/360*2*r=4p/3
so angle O=4p*360/3*8p=60
thus triangle ROU=tiangle ROT and triangle TOU
so RO=UO=RU=4

puneetdua: Senior | Next Rank: 100 Posts; Posts: 87; Joined: Wed Jun 16, 2010 7:57 pm; Location: Delhi,India; Thanked: 1 times

by puneetdua » Sat Sep 18, 2010 9:53 am

ahhhh... Thanks ..i got the question now ....

its what is the length of line segment RU?

i was taking it as what is the length of ARC RU..!!!!

need to read statement with more concentration.

anyways - Thanks diebeatsthegmat, your post has shown me my mistake.

Thanks
Puneet

Featured schoolRound 2 closes Jan 7, 2027 53 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review