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# Is the radius of a circle greater than 3? 1: The points with

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Director
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Is the radius of a circle greater than 3? 1: The points with [#permalink]  13 Dec 2004, 19:48
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Is the radius of a circle greater than 3?
1: The points with co-ordinates (2,4 and (5,10) are on the circle.
2: The points with co-ordinates (2,4 and (4,1) are on the circle.
Director
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where is this problem from? I end up with E. doubtful abt that..
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DS: Geometry [#permalink]  14 Dec 2004, 05:52
A.

For 1, the distance from (2,4) to (5,10) is sqrt(3^2 + 6^2), so it is clear that the minimum diameter is greater than 6 (the smaller circle is when (2,4) and (5,10) are at opposite ends of the circumference (which is the boundary of the circle).

For B, the minimum radius is sqrt(13)/2 + 1.803, and it can be as large as we want.
DS: Geometry   [#permalink] 14 Dec 2004, 05:52
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