GMAT Club Forumhttps://gmatclub.com:443/forum/ In the figure to the right, circle P has diameter 2 and circle Q hashttps://gmatclub.com/forum/in-the-figure-to-the-right-circle-p-has-diameter-2-and-circle-q-has-242836.html Page 1 of 1

 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) 6πAttachment: 2017-06-17_1708.png [ 14.46 KiB | Viewed 6048 times ] Source: Nova GMATDifficulty Level: 550

 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) 6πAttachment:2017-06-17_1708.pngCircle P: diameter 2So, the radius (r) = 1Circle Q: diameter 1So, the radius (r) = 1/2area of circle = πr²SHADED 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

 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)

 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)

 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 Hello from the GMAT Club BumpBot!Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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