2021-12-30

Two quarter circles in a rectangle

This question was uploaded on 30/12/21 on social media accounts.

Solution:

Blue Area = Area of rectangle - 2(Area of quarter circle)
\[A = 4\sqrt3 - 2\left(\frac{\pi}4\cdot2^2\right)\]
\[A = 4\sqrt3 - 2\pi\]
\[A=2(2\sqrt3-\pi)\]
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