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

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

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New post 17 Jul 2010, 12:13
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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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Re: In the xy plane, each point on the circle k has non negative coordinat  [#permalink]

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New post 17 Jul 2010, 12:42
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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 = \(\pi*(4)^2 = 16\pi\)

Here's a diagram to help you visualize it .
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Re: In the xy plane, each point on the circle k has non negative coordinat  [#permalink]

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New post 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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