1. The problem statement, all variables and given/known data A football field is given in the following shape, where, ABCD is a square of side-length and AEB, CFD are semi-circular arcs. If an observer is moving with uniform velocity .along AB, what is the area of the football-field measured by the observer? ( is the velocity of light in free-space.) EDIT: The side of the square is 1m and the speed of the observer is 0.8c. 2. Relevant equations L=L0√1-v2/c2 3. The attempt at a solution Okay so I know I have to use the length contraction equation. As the observer is moving along AB, the lengths of AB and CD will contract. The relativistic length is .6 meters. The square becomes a rectangle. What do I do with the semi circular regions? P.S- Not any homework problem. Just a question from a previous olympiad.