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 →

Rectangle ABCD is inscribed in a circle with center X.

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 » Tue Oct 02, 2018 2:59 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

Veritas Prep

Image

Rectangle ABCD is inscribed in a circle with center X. If the area of the rectangle is eight times its width, and the distance from X to side AB is three, what is the approximate circumference of the circle?

A. 5
B. 10
C. 30
D. 45
E. 75

OA C.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Tue Oct 02, 2018 5:16 am

by mongmat27 » Tue Oct 02, 2018 5:36 am
Ans is C - 30

Let length be a and width be b

Given - ab =8b

Thus, a=8

Thus, AB =8

Distance from centre to AB is 3. Let this line drawn from X (centre of circle) to AB meet AB at E. Thus, XE = 3

As X is the centre, XE will be perpendicular bisector to AB. Thus, EB = 4

Triangle EBX is a right angled triangles with one side =3 and other =4. Thus, the third side XB, which is the radius of the circle (because X is centre and B is a point on the circle) = 5 (Pythagoras theorem)

Thus, circumference = 2*3.14*5 = 31.4

option C is the closest approximation of 31.4
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8136
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Wed Oct 03, 2018 4:58 pm
AAPL wrote:Veritas Prep

Image

Rectangle ABCD is inscribed in a circle with center X. If the area of the rectangle is eight times its width, and the distance from X to side AB is three, what is the approximate circumference of the circle?

A. 5
B. 10
C. 30
D. 45
E. 75
Since the area of the rectangle is eight times its width, the length of the rectangle (AB or CD) is 8. Since the distance from X to side AB is 3, the distance from X to side CD is also 3. Therefore, AD or BC, that is, the width of the rectangle is 6. By the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

AC^2 = 8^2 + 6^2

AC^2 = 100

AC = 10

Since AC is also the diameter of the circle, the circumference of the circle is AC x π, or 10π. Since π is approximately 3, the circumference is approximately 30.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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