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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

What is the length of minor arc AC?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2632
Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members
by AAPL » Wed Nov 22, 2017 6:28 pm
Image

Equilateral triangle ABC is inscribed within a circle as shown above. If the circle has an area of 36Ï€, what is the length of minor arc AC?

A. 3Ï€

B. 4Ï€

C. 5Ï€

D. 6Ï€

E. 9Ï€

The OA is B.

Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Wed Nov 22, 2017 9:14 am
Thanked: 1 times

answer

by gillissm11 » Thu Nov 23, 2017 2:00 am
A=36
$$\pi$$
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 555
Joined: Wed Oct 04, 2017 4:18 pmFollowed by: 12 members
Thanked: 180 times

by EconomistGMATTutor » Thu Nov 23, 2017 9:08 am
Hello AAPL.

If the area of the circle is 36Ï€ then $$A=36\pi\ =\ 6^2\pi,$$ it implies that r=6.

By the other hand, as the triangle is equilateral then its angles are equal to 60º.

Using the theorem of inscribed angle we got that the central angle in the arc AC is equal to 120º.

Image

So, the length of minor arc AC is equal to $$AC=r\cdot\theta=6\cdot120º=720º=4\pi.$$ So, the correct answer is B .

I hope this explanation may help you.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1