Find the Circles!!
The eight points below are the vertices and the midpoints of the sides of a square. We would like to draw a number of circles through the points, in such a way that each pair of points lie on (at least) one of the circles. Determine the smallest number of circles needed to do this.
The answer is 6.
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1 solution
Draw the circumcircle of A C H F , B E G D , A B G F , B C G H , A C E D , D E H F