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| In the figure to the right, circle P has diameter 2 and circle Q has https://gmatclub.com/forum/in-the-figure-to-the-right-circle-p-has-diameter-2-and-circle-q-has-242836.html |
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| Author: | Bunuel [ 17 Jun 2017, 05:10 ] |
| Post subject: | In the figure to the right, circle P has diameter 2 and circle Q has |
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 Attachment: 2017-06-17_1708.png [ 14.46 KiB | Viewed 6048 times ] Source: Nova GMAT
Difficulty Level: 550 |
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| Author: | BrentGMATPrepNow [ 17 Jun 2017, 07:19 ] |
| Post subject: | In the figure to the right, circle P has diameter 2 and circle Q has |
Bunuel wrote: 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 Attachment: 2017-06-17_1708.png 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 |
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| Author: | pushpitkc [ 17 Jun 2017, 05:14 ] |
| Post subject: | Re: In the figure to the right, circle P has diameter 2 and circle Q has |
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) |
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| Author: | Abhishek009 [ 17 Jun 2017, 07:44 ] |
| Post subject: | Re: In the figure to the right, circle P has diameter 2 and circle Q has |
\(D = 2\) and \(d = 1\) So, \(R = 1\) and \(r = \frac{1}{2}\) Area of the shaded region is \(π(R^2 - r^2)\) Or, Area of the shaded region is \(π(1 - 1/4)\) Or, Area of the shaded region is \(\frac{3π}{4}\) Hence, the correct answer must be (A) |
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| Author: | bumpbot [ 20 Nov 2022, 02:40 ] |
| Post subject: | Re: In the figure to the right, circle P has diameter 2 and circle Q has |
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