For each relationship below, find the radius of the circle that would cover exactly half of a one unit square.

A. The circle is entirely inside the square.

B. The center of the circle is at the corner of the square.

C. The center of the circle is at the midpoint of the side of the square.

D. The center of the circle is on the side of the square and the one corner of the square is on the circle.

Are there any interesting relationships between any of the radii above?

Here we have a partial circle and a right triangle adding to 1/2.

Posted by Steven Lord on 2018-12-24 04:34:43