• e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep

Great circles question

This topic has 1 member reply
mihai9 Junior | Next Rank: 30 Posts Default Avatar
Joined
08 Nov 2017
Posted:
19 messages

Great circles question

Post Fri Dec 22, 2017 10:29 am
There are three points O, P, Q, O is the center of the circle, P and Q are two points on the circle, and ∠POQ is 45 °, then it seems that the area of a triangle is 12, Find the area of a circle ?

  • +1 Upvote Post
  • Quote
  • Flag
thucanh711 Newbie | Next Rank: 10 Posts
Joined
23 Dec 2017
Posted:
3 messages
Post Sun Jan 07, 2018 3:15 am
Hi there,
hope my explanation could help you.

As O is the center of the circle and P, Q are on the circle => OP = OQ = r (the radius of the circle)

The area of the triangle can be calculated by: S = 1/2 sin($$\angle$$ POQ) OP. OQ = 1/2 . $$\frac{\sqrt{2}}{2}$$ . OP . OQ

We have S = 12 => the value of OP.OQ

OP.OQ = r. r = $$r^2$$

The area of the circle: S' = $$\pi.r^2$$

You can get your answer now.

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 Roland2rule 125 topics
2 lheiannie07 110 topics
3 ardz24 60 topics
4 LUANDATO 55 topics
5 swerve 51 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

151 posts
2 image description GMATGuruNY

The Princeton Review Teacher

135 posts
3 image description Scott@TargetTestPrep

Target Test Prep

129 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

111 posts
5 image description DavidG@VeritasPrep

Veritas Prep

83 posts
See More Top Beat The GMAT Experts