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Updated on: 05 Jul 2019, 04:40
Originally posted by Bunuel on 17 Jun 2017, 06:10.
Last edited by Sajjad1994 on 05 Jul 2019, 04:40, edited 1 time in total.
Last edited by Sajjad1994 on 05 Jul 2019, 04:40, edited 1 time in total.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (01:05) correct
24%
(00:58)
wrong
based on 155
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In the figure to the right, circle P has diameter 2 and circle Q has diameter 1. What is the area of the shaded region?
(A) 3/4*π
(B) 3π
(C) 7/2*π
(D) 5π
(E) 6π
2017-06-17_1708.png [ 14.46 KiB | Viewed 8077 times ]
(A) 3/4*π
(B) 3π
(C) 7/2*π
(D) 5π
(E) 6π
Attachment:
2017-06-17_1708.png [ 14.46 KiB | Viewed 8077 times ]
Source: Nova GMAT
Difficulty Level: 550
Difficulty Level: 550
Updated on: 28 Apr 2021, 07:31
Originally posted by BrentGMATPrepNow on 17 Jun 2017, 08:19.
Last edited by BrentGMATPrepNow on 28 Apr 2021, 07:31, edited 1 time in total.
Last edited by BrentGMATPrepNow on 28 Apr 2021, 07:31, edited 1 time in total.
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Bunuel
Circle P: diameter 2
So, the radius (r) = 1
Circle Q: diameter 1
So, the radius (r) = 1/2
area of circle = πr²
SHADED area = (area of circle P) - (area of circle Q)
We get: SHADED area = (π)(1²) - (π)(1/2)²
= (π)(1) - (π)(1/4)
= π(1 - 1/4)
= π(3/4)
Answer: A
General Discussion
17 Jun 2017, 06:14
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Since the outer circle has diameter 2, radius is 1 and area of the circle = \(π * 1^2 = π\)
Similarly the inner circle has diameter 1, radius is 1/2 and area of the inner circle is \(π *(1/2)^{2} = π/4\)
Hence, area of shaded region = area of outer circle - area of inner circle = 3/4 * π(Option A)
Similarly the inner circle has diameter 1, radius is 1/2 and area of the inner circle is \(π *(1/2)^{2} = π/4\)
Hence, area of shaded region = area of outer circle - area of inner circle = 3/4 * π(Option A)
