Math Artifacts

Suppose you make a delicious blueberry pie to celebrate this holiday. It comes out to have a radius of $6$ inches. You also decide to make a small pumpkin pie because let's be honest, that's the best pie. Its radius comes out to be $4$ inches. When transferring them both to the table you drop them and they fall on each other fusing together like a Venn diagram: strange. If the edge of the blueberry pie landed in the center of the pumpkin pie what is the area of the intersection?

Answer to the nearest tenth.