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In the xy plane, each point on the circle k has non negative

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In the xy plane, each point on the circle k has non negative [#permalink]

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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

This question is already posted in the forum. My doubt is why it cant be the 7. everybody is saying it could touch negative coordinates. please explain in detail
[Reveal] Spoiler: OA

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Re: In the xy plane, each point on the circle k has non negative [#permalink]

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New post 19 Apr 2012, 00:53
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TomB wrote:
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

This question is already posted in the forum. My doubt is why it cant be the 7. everybody is saying it could touch negative coordinates. please explain in detail


The circles with radius of 4 (blue) and 7 (red):
Attachment:
Circle.png
Circle.png [ 13.66 KiB | Viewed 7162 times ]


As you can see if the circle has the radius of 7 some of its points will be in II quadrant so will have negative x coordinate, but we are told that: "each point on the circle k has non negative coordinates", so the radius of 7 is not possible (or any other radius more than 4).

So, the max radius is 4, which makes the max area equal to \(\pi{r^2}=16\pi\).

Answer: C.

Hope it's clear.
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Re: In the xy plane, each point on the circle k has non negative [#permalink]

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New post 27 Jun 2013, 23:46
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Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the xy plane, each point on the circle k has non negative [#permalink]

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New post 08 Jul 2016, 04:32
Hello from the GMAT Club BumpBot!

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Re: In the xy plane, each point on the circle k has non negative [#permalink]

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New post 06 Sep 2017, 09:18
Hello from the GMAT Club BumpBot!

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Re: In the xy plane, each point on the circle k has non negative   [#permalink] 06 Sep 2017, 09:18
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