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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Circle and Arcs

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Thu Dec 02, 2010 1:58 am
by kalpak.ranadive » Sat Dec 11, 2010 8:51 am
Hey can anyone let me know how to get this ???

Thanks........

Q: The length of arc AXB is twice the length of arc BZC, and the length of arc AYC is three times the length of arc AXB. What is the measure of angle BCA?


Image




(Note: Figure not drawn to scale)
20
40
60
80
120
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Junior | Next Rank: 30 Posts
Posts: 20
Joined: Tue Oct 19, 2010 1:08 am
Thanked: 1 times

by minar » Sat Dec 11, 2010 9:34 am
What is the OA?
I got the answer: 40
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 20
Joined: Tue Oct 19, 2010 1:08 am
Thanked: 1 times

by minar » Sat Dec 11, 2010 9:39 am
What is the OA?
I got the answer: 40

Because, the arc AXB is 2/9th of the total arch.
The angle for the full circle is 360 degree, so if we draw an angle from the center (O) connecting A and B, the measurement of angle AOB would be 360*(2/9) = 80 degree.
As a formula: the angle BCA is half of AOB.
So, BCA = 40.

Is it?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 181
Joined: Sat Oct 16, 2010 1:57 pm
Thanked: 4 times

by N:Dure » Sat Dec 11, 2010 3:46 pm
I also got 40, but this way:

The arcs ratio is 1:2:6 (BZC:AXB:AYC) so the angles opposing each of them also have the same ratio 1:2:6

1:2:6 sum 9
x:y:z 180 degrees

y= 180 *2 /9 = 40
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 77
Joined: Tue Jul 31, 2012 6:53 amFollowed by: 1 member
Thanked: 8 times

by GaneshMalkar » Sun Nov 04, 2012 8:40 am
x + y + z = 360 degrees

x = 2z ; y = 3x

x + 3x + x/2 = 360; 9x/2 = 360; x = 80 which is Angle (AOB); So A(ACB) = 80/2 = 40
If you cant explain it simply you dont understand it well enough!!!
- Genius
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1