A __cyclic__ polygon is one that can be inscribed in a circle. It is
fairly easy to construct a cyclic quadrilateral with two sides with
integer length *a* and two sides with integer length *b* such
that the radius of the circle is also an integer (for example, a
6×8 or a 10×24 rectangle).

This month's problem is to find a cyclic pentagon having three sides
with integer length *a* and two sides with integer length *b*
such that the radius of the circle is also an integer. Can you find an
infinite family of (non-similar) pentagons with this property?

**
The solution will be posted shortly.
**

Back to the Archives

Back to the Math Department Homepage.