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tmua.me Medium Set F Paper 2 · Q20

Paper 2Geometry

A square ABCDABCD has side length 2\sqrt2. Four circles, each of radius 11, are drawn with centres at AA, BB, CC and DD.

What is the area of the part of the square that lies inside exactly one of the four circles?

Diagram for question 20

A4−π2\dfrac{4-\pi}{2}
Bπ−2\pi-2
C4−π4-\pi
D1−π41-\dfrac\pi4
E2π−42\pi-4
Fπ\pi

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