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

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Manager
Joined: 22 Mar 2010
Posts: 53
In the xy plane, each point on the circle k has non negative coordinat  [#permalink]

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17 Jul 2010, 12:13
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2
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:42) correct 28% (00:55) wrong based on 107 sessions

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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?

1. 4pi
2. 9pi
3. 16pi
4. 28pi
5. 49pi
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Status: Three Down.
Joined: 09 Jun 2010
Posts: 1868
Concentration: General Management, Nonprofit
Re: In the xy plane, each point on the circle k has non negative coordinat  [#permalink]

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17 Jul 2010, 12:42
2
So, the center of the circle is in (4,7) and the points on the circle don't have any negative coordinates. This means, the max the circle can stretch out to from (4,7) is 4 along the x axis and 7 along the y axis before it hits negatives. But choosing 7 as a radius would mean negative coordinates along the x axis, so the radius is 4 and hence area = $$\pi*(4)^2 = 16\pi$$

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

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23 Sep 2017, 21:46
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Re: In the xy plane, each point on the circle k has non negative coordinat &nbs [#permalink] 23 Sep 2017, 21:46
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