og 206 geometry

Expert replies

resilient: Legendary Member; Posts: 789; Joined: Sun May 06, 2007 1:25 amFollowed by: 6 members; Location: Southern California, USA; Thanked: 15 times

by resilient » Wed Mar 26, 2008 12:09 pm

In the circle aboce , pq is parallel to the diameter OR and OR has length of 18. What is the length of minor arc pq?

a.2pie
b.9pie/4
c.7pie/2
d.9pie/2
e.3pie

cannot get the circle- please refer to og 11 pg. 180

I accompanying arc is going to be 70 degrees. so the circumference is pie 18 and I took 70/360 of pie 18. solution wants to take 70/180 of the pie 18. WHy? this makes no sense to me!

qa is a. I got c

Appetite for 700 and I scraped my plate!

Source: Beat The GMAT — Problem Solving | Wed Mar 26, 2008 12:09 pm

moneyman: Master | Next Rank: 500 Posts; Posts: 468; Joined: Sat Mar 03, 2007 10:17 pm; Thanked: 5 times

by moneyman » Wed Mar 26, 2008 9:30 pm

The measure of the arc would be twice is inscribed angle and so the measure of arc PO would be twice of its inscribed angle which is 35 degrees. So the measure of Po is 70 degrees.

It is given that PQ is parallel to OR and so angle QPR would be equal to angle PRO and therefore measure if arc QR would also be 70 degrees.

Because OR is the diameter we know that the measure of arc OR is 180 degrees.

OP is 70 degrees and QR is 70 degrees so the remaining measure of arc PQ would be 40 degrees(180-70-70)

Length of the arc PQ would be 40/360*2(pie)(r) = 1/9 * 18(pie)=2(pie)

So the answer is choice A

Maxx

resilient: Legendary Member; Posts: 789; Joined: Sun May 06, 2007 1:25 amFollowed by: 6 members; Location: Southern California, USA; Thanked: 15 times

ok

by resilient » Wed Mar 26, 2008 9:37 pm

I am still not seeing why the general rule is not applying to this situation. In general, you take the degree over 360 and apply it to the next matter. This time its out of 180 degrees. why?

Appetite for 700 and I scraped my plate!

camitava: Legendary Member; Posts: 645; Joined: Wed Sep 05, 2007 4:37 amFollowed by: 5 members; Location: India; Thanked: 34 times

by camitava » Thu Mar 27, 2008 3:46 am

Engin, refer the post - https://www.beatthegmat.com/gmat-prep-ge ... inor%20arc

Hope this link will help u ...

Correct me If I am wrong

Regards,

Amitava

sampleresume: Senior | Next Rank: 100 Posts; Posts: 55; Joined: Sun Apr 06, 2008 5:04 pm

by sampleresume » Sun Apr 13, 2008 5:14 pm

Yes, A is correct

Featured schoolRound 2 closes Jan 7, 2027 54 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