A third way to do the Day 3 Challenge
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You can actually ignore the half almond in the center of the shape and think of the other shapes that you could cut the 2 overlapping circles into.
I cut it into two 2/3 circles (one on each side) and a rhombus in the center. The 2/3 circles each have area 2/3x36pi=24pi and the rhombus is made by adding 2 equilateral triangles, each with area 9 root 3.
So the total area is
2x24pi+18 root 3
which is equal to Prof. Loh's answer of
48pi+18 root 3 -
@iamnotawhale Yeah, that's a really good solution too! Just goes to show how there are so many different ways to solve something, all equally unique and efficient
