|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
15 Mar 2022, 04:45
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:37) correct
31%
(01:29)
wrong
based on 108
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, a circular swimming pool (the unshaded area) is surrounded by a circular walkway (the shaded area). Both the circular swimming pool and the entire circular region consisting of the swimming pool and the walkway have the center 0. If the radius of the swimming pool is 10 meters and the width of the walkway is 5 meters, how many square meters greater than the surface area of the swimming pool is the area of the walkway?
A. \(25\pi\)
B. \(50\pi\)
C. \(100\pi\)
D. \(125\pi\)
E. \(225\pi\)
Attachment:
2018-12-12_1359.png [ 27.77 KiB | Viewed 3354 times ]
san10789
Joined: 29 Apr 2021
Last visit: 24 Nov 2025
Posts: 48
Own Kudos:
Given Kudos: 75
Location: India
Concentration: Leadership, Technology
Schools: IIML IPMX'25 (A)
GMAT 1: 640 Q47 V31
GPA: 4
10 Sep 2022, 04:30
Kudos
Bookmarks
Bunuel
Let "r" be radius of smaller circle i.e swimming pool. Given r =10
Let "R" be radius of Bigger circle i.e swimming pool + Walkways. Given R = 10 + 5 = 15
Area of Swimming pool = πr^2
Area of Walkways = Bigger Circle - Swimming Pool ]= πR^2 - πr^2
Answer needed = Area of Swimming pool - Area of Walkways
= πr^2 - π(R^2 - r^2)
= π(2r^2 - R^2 )
= 25π
