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15 Mar 2022, 04:45
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Difficulty:
35%
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69% (01:37) correct
31%
(01:29)
wrong
based on 108
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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 3348 times ]
san10789
Joined: 29 Apr 2021
Last visit: 24 Nov 2025
Posts: 48
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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
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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
