• 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
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • 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
  • 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

OG2015 PS The figure above shows

This topic has 2 expert replies and 1 member reply
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

OG2015 PS The figure above shows

Post Wed Sep 13, 2017 8:10 pm
ttps://postimg.org/image/m5muhvml1/" target="_blank">

The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

(A) 25π
(B) 38π
(C) 55π
(D) 57π
(E) 64π

OA: D

Can anyone, please share the solution to this problem.

  • +1 Upvote Post
  • Quote
  • Flag
Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
Top Reply
Post Tue Sep 19, 2017 3:02 pm
lionsshare wrote:
ttps://postimg.org/image/m5muhvml1/" target="_blank">

The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

(A) 25π
(B) 38π
(C) 55π
(D) 57π
(E) 64π

OA: D
The circular path (i.e., the shaded region) is called an annulus in geometry. Basically an annulus is a ring-shaped figure bounded by two concentric circles. To find the area of an annulus, we use the following formula:

π(R^2 - r^2)

where r is the radius of the inner circle and R is the radius of the outer circle.

We know:

R = 8 + 3 = 11 feet

r = 8 feet

Plugging into our equation, we have:

area = π(11^2 - 8^2)

area = π(121 - 64)

area = 57π

Answer: D

_________________
Jeffrey Miller Head of GMAT Instruction

  • +1 Upvote Post
  • Quote
  • Flag
Top Reply
Post Wed Sep 13, 2017 9:28 pm
lionsshare wrote:
ttps://postimg.org/image/m5muhvml1/" target="_blank">

The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

(A) 25π
(B) 38π
(C) 55π
(D) 57π
(E) 64π

OA: D

Can anyone, please share the solution to this problem.
The radius of the outer edge of the path = 8 + width of the flower bed (= 3)

The radius of the outer edge of the path = 8 + 3 = 11 feet

Area of the path = Area of the outer circle of the path - Area of the inner circle of the path = π .(11)^2 - π .(8)^2 = 121π - 64π = 57π sq feet

The correct answer: D

Hope this helps!

Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Jakarta | Nanjing | Berlin | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

  • +1 Upvote Post
  • Quote
  • Flag
Post Tue Sep 19, 2017 3:02 pm
lionsshare wrote:
ttps://postimg.org/image/m5muhvml1/" target="_blank">

The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

(A) 25π
(B) 38π
(C) 55π
(D) 57π
(E) 64π

OA: D
The circular path (i.e., the shaded region) is called an annulus in geometry. Basically an annulus is a ring-shaped figure bounded by two concentric circles. To find the area of an annulus, we use the following formula:

π(R^2 - r^2)

where r is the radius of the inner circle and R is the radius of the outer circle.

We know:

R = 8 + 3 = 11 feet

r = 8 feet

Plugging into our equation, we have:

area = π(11^2 - 8^2)

area = π(121 - 64)

area = 57π

Answer: D

_________________
Jeffrey Miller Head of GMAT Instruction

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 lheiannie07 120 topics
2 ardz24 65 topics
3 LUANDATO 63 topics
4 swerve 61 topics
5 AAPL 59 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

186 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

171 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

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

EMPOWERgmat

133 posts
5 image description GMATGuruNY

The Princeton Review Teacher

128 posts
See More Top Beat The GMAT Experts