[Math] How to find the shaded area

areacircleseuclidean-geometrygeometryquadrilateral

How to find the shaded area crossed by semi-circle of radius 2 and quarter-circle of radius 4?
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Best Answer

The shaded area is shaped from two intersecting circles like an asymmetric lens! in order to find the area of this lens we simply split it in two parts: enter image description here