Good Afternoon,
I have spent a couple of hours trying to solve this problem, but it appears that I have not gotten anywhere.
Let $R$,$P$,$Q$ be points such that $\angle RQP=75^\circ$. Also we are given that $RQ=\sqrt{2}$ and $PQ=\sqrt{3}$. A lens is a region bounded by two circular arcs meeting at the endpoints. Let $m$ be the area of the largest lens that does not intersect lines $QR$ and $QP$, with endpoints at $R$ and $P$. How would we find $m$?