538 Riddler: How Big A Table Can The Carpenter Build?
25 September ’16
In this week's Riddler, the largest circular table that we can carve out of our 4x8 piece of wood with two congruent semi-circles has a radius of ~2.70 feet. We can fit the largest semi-circles in the wood by orienting them diagonally:
From the above graph, we can use a few equations to solve for X:
We've managed to use of the available wood for our circular table.