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CAT 2018 Geometry & Mensuration — Previous Year Question

Year

CAT 2018

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-1

Two circles with radius 2R2R and 2R\sqrt{2}R intersect each other at points AA and BB. The centers of both the circles are on the same side of ABAB. OO is the centre of the bigger circle and AOB\angle AOB is 6060^\circ. Find the area of the common region between the two circles.

(3π1)R2(√3 − π − 1)R^2

(3π)R2(√3 − π)R^2

((13π/6)+13)R2((13π/6) + 1 − √3)R^2

((13π/6)+3)R2((13π/6) + √3)R^2

None of the above

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