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Year

CAT 2018

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-1

In a circle with centre O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is

π4\frac{\pi}{4} 12\frac{1}{2}

π6\frac{\pi}{6} 12\frac{1}{2}

π43\frac{\pi}{4\sqrt{3}} 12\frac{1}{2}

π33\frac{\pi}{3\sqrt{3}} 12\frac{1}{2}

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