Geometry- GMATprep1

This topic has expert replies
Source: — Problem Solving |

Master | Next Rank: 500 Posts
Posts: 150
Joined: Thu May 05, 2011 10:04 am
Thanked: 5 times
Followed by:4 members

by thestartupguy » Thu Sep 01, 2011 11:43 am
IMO: A

Junior | Next Rank: 30 Posts
Posts: 12
Joined: Tue Aug 30, 2011 7:55 pm
Thanked: 1 times

by jbivins » Thu Sep 01, 2011 12:21 pm
from observation you know that arc OP will equal arc QR. If we can find those length we can subtract them from half of the circumference and find the arc PQ

so arc OP = 2(pi)(9)(70/360)=7/2 (pi) double the 35
arc OP+arc QR = 2 arc OP= 14/2 (pi)=7 pi

half the circumference of the entire circle is (180/360)*2*(pi)*9=9(pi)

arc PQ = 9(pi)-7(pi) = [spoiler]A 2 (pi)[/spoiler]