perplexus.info :: Geometry : A circle through seven points

A circle through seven points (Posted on 2004-08-19)

Find a circle that passes exactly through seven points of the plane (no more, no less) with integer coordinates.

See The Solution Submitted by Federico Kereki

Rating: 2.5000 (4 votes)

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Puzzle Thoughts

Comment 2 of 2 |

A circle with center at (125/4, 0) and radius 125/4 passes through these 7 integer lattice points:

(0,0)

(2,11)

(2,-11)

(40,30)

(40,-30)

(50,25)

(50,-25)

The equation of the circle is given by:

(x-125/4)^2 + y^2 = (125)/4)^2

Posted by K Sengupta on 2022-07-10 00:26:21

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