CAT 2018 Slot 1 QA Q2 Geometry

Question 2 of the Quantitative Ability (QA) section, CAT 2018 Slot 1, with CAT's official answer.

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
  1. A
    \(\frac{π}{4}\)\(\frac{1}{2}\)
  2. B
    \(\frac{π}{6}\)\(\frac{1}{2}\)
  3. C
    \(\frac{π}{4√3}\)\(\frac{1}{2}\)
  4. D
    \(\frac{π}{3√3}\)\(\frac{1}{2}\)

Answer: (D) (π)/(3√3) ^ 1/2 Geometry MCQ

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