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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## In the xy plane, each point on the circle k has non-negative tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 1 member reply ### Top Member ## In the xy plane, each point on the circle k has non-negative ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Paper Tests In the xy plane, each point on the circle k has non-negative coordinates and the center of k is the point (4,7). What is the max possible area of K? A. 4pi B. 9pi C. 16pi D. 28pi E. 49pi The OA is C ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2653 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Source: GMAT Paper Tests In the xy plane, each point on the circle k has non-negative coordinates and the center of k is the point (4,7). What is the max possible area of K? A. 4pi B. 9pi C. 16pi D. 28pi E. 49pi The OA is C If the center of circle k is (4, 7), and all the points on the circle have non-negative coordinates, then the maximum length of the radius is 4. Assuming that we draw the radius 4 units to the left of the circleâ€™s center, then it will intersect the y-axis at (0, 7). In other words, this circle has a point (0, 7) on its circumference, while all the other points on the circumference will have positive coordinates. (If we were to draw the radius any longer, we would have points on the circleâ€™s circumference containing negative x-coordinates.) Since the maximum radius is 4, the maximum area of circle k is Ï€(4)^2 = 16Ï€. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 1054 messages Followed by: 2 members Plotting a circle with radius 7 will have some of its points on another quadrant which will be a negative x- coordinates. Since each point on circle K has non-negative coordinates, the radius of 7 is not possible, hence $$\max\ possible\ radius\le4\$$ Anything above 4 will not workout given the non-negative clauses $$\max\ possible\ area\ of\ K=\pi r^2\$$ since maximum radius = 4 $$\max\ Area=\pi\left(4\right)^2=16\pi$$ $$answer\ is\ Option\ C$$ • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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