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MathNet 2018-part-07 — 177 problems (EN–VI) Question 148

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 148

Circle $\omega_{1}$ of radius $1$ and circle $\omega_{2}$ of radius $2$ are concentric. Godzilla inscribes square $CASH$ in $\omega_{1}$ and regular pentagon $MONEY$ in $\omega_{2}$. It then writes down all $20$ (not necessarily distinct) distances between a vertex of $CASH$ and a vertex of $MONEY$ and multiplies them all together. What is the maximum possible value of his result?