Bound to Be

Problem | Solution | Printable page |
Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Bounded area $ABCD$ is a square of side 1 unit. Arc of circles with centres at $A, B, C, D$ are drawn in.

Prove that the area of the central region bounded by the four arcs is:

$(1 + \pi/3 + \sqrt{3})$ square units.

Published February 1998.