Problem

The key is recognizing that this problem asks for a relationship between the semiperimeter $s$ and circumradius $R$ — two fundamental triangle measurements. You'll need to connect them using the extended sine rule, which relates side lengths to the circumradius, and then express everything in terms of angles. The answer will be a clean expression involving the angles of the triangle, showing how these two quantities scale together.

The key is recognizing that this problem asks for a relationship between the semiperimeter $s$ and circumradius $R$ — two fundamental triangle measurements. You'll need to connect them using the extended sine rule, which relates side lengths to the circumradius, and then express everything in terms of angles. The answer will be a clean expression involving the angles of the triangle, showing how these two quantities scale together.