Here’s the extracted text: "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 A. \( \frac{\pi}{4} \frac{1}{2} \) B. \( \frac{\pi}{6} \frac{1}{2} \) C. \( \frac{\pi}{4\sqrt{3}} \frac{1}{2} \) D. \( \frac{\pi}{3\sqrt{3}} \frac{1}{2} \) Correct Answer Explanation Video Solution"