BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The figure shows that OA is parallel to CB, and the arc leng

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

The figure shows that OA is parallel to CB, and the arc leng

by Max@Math Revolution » Tue Oct 29, 2019 12:33 am
[GMAT math practice question]

The figure shows that OA is parallel to CB, and the arc length AB is 8 cm, and ∠ AOB is 40. What is the arc length of BC?

Image

A. 20 cm
B. 22 cm
C. 24 cm
D. 26 cm
E. 28 cm
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Thu Oct 31, 2019 12:02 am
=>

Since ∠AOB and ∠OBC are alternate interior angles, they are equal to each other, and we have ∠OBC = 40.

Image

∠BOA = 100 and the length of the arc BC is 8*(100/40) = 20.

Therefore, A is the answer.
Answer: A
Top
Post new topic Post Reply
• Page 1 of 1