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Viluxent Set 1 Paper 1 · Q15

Paper 1Geometry

Three circles, each of radius 2, are mutually tangent to one another (each pair touches at exactly one point). Find the exact area of the curved triangular region enclosed between the three circles.

A43−2π4\sqrt3-2\pi
B23−π2\sqrt3-\pi
C43−π4\sqrt3-\pi
D83−4π8\sqrt3-4\pi
E4π−234\pi-2\sqrt3
F43−4π34\sqrt3-\frac{4\pi}{3}

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