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 →

112) What is the area of the shaded region

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 214
Joined: Mon Mar 29, 2010 1:46 pm
Location: Houston, TX
Thanked: 37 times
GMAT Score:700

by sk818020 » Sun May 16, 2010 9:01 pm
There would need to be more info to derive this answer. I believe there would also need to calculus involved if you had the right information to figure out the question. GMAT doesn't do either of these.

The question doesn't give you any values at all so it would be impossible to determine what the exact area of the shaded region is.

Hope that helps.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 610
Joined: Fri Jan 15, 2010 12:33 amFollowed by: 2 members
Thanked: 47 times

by kstv » Sun May 16, 2010 11:33 pm
Lets the answer options be


1) TT +1
2) TT -1
3) 1
4) TT/2 -1
5) TT/2 - 1/2


TT is the symbol, pie = 22/7 app.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Thu Nov 05, 2009 11:24 pm
Thanked: 1 times

by kuntalkkc » Mon May 17, 2010 11:48 am
quite easy...

half of the shaded region=area of quarter circle-half area of sq=Pi*1/4-1/2
total shaded region=2(pi/4-1/2)=pi/2-1=TT/2-1...ans option 4....any doubt?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 362
Joined: Fri Oct 02, 2009 4:18 amFollowed by: 1 member
Thanked: 26 times

by indiantiger » Mon May 17, 2010 12:52 pm
each BCA and DCA represents 1/4 of a circle with radius = 1

lets calculate the area of the sector = angle/360 22/7 (1)^2

shaded area = area of square - (area of square - area of the sector BCA) - (area of the circle - area of the sector DCA)
= 1 - (1-90/360*TT*1) -(1-90/360*TT*1)
= 1-1-1+TT/4+TT/4
= TT/2 - 1


*TT = 22/7
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members
Location: Toronto
Thanked: 1710 times
GMAT Score:800

by Stuart@KaplanGMAT » Mon May 17, 2010 2:55 pm
kuntalkkc wrote:quite easy...

half of the shaded region=area of quarter circle-half area of sq=Pi*1/4-1/2
total shaded region=2(pi/4-1/2)=pi/2-1=TT/2-1...ans option 4....any doubt?
How do you know the two arcs are quarter-circles?

I agree that if we had that information we could solve, but the question doesn't include that info and we certainly can't (and are never expected to) make any assumptions of that nature on the GMAT.
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1