In a circle with center 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

Question

TuteeHUB · Accepted Answer

${\left( {\frac{\pi }{6}} \right)^{\frac{1}{2}}}$

TuteeHUB · Answer

${\left( {\frac{\pi }{4}} \right)^{\frac{1}{2}}}$

TuteeHUB · Answer

${\left( {\frac{\pi }{3\sqrt 3}} \right)^{\frac{1}{2}}}$

TuteeHUB · Answer

${\left( {\frac{\pi }{4\sqrt3}} \right)^{\frac{1}{2}}}$

1.	In a circle with center 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.	\({\left( {\frac{\pi }{4}} \right)^{\frac{1}{2}}}\)
B.	\({\left( {\frac{\pi }{3\sqrt 3}} \right)^{\frac{1}{2}}}\)
C.	\({\left( {\frac{\pi }{6}} \right)^{\frac{1}{2}}}\)
D.	\({\left( {\frac{\pi }{4\sqrt3}} \right)^{\frac{1}{2}}}\)
Answer» C. \({\left( {\frac{\pi }{6}} \right)^{\frac{1}{2}}}\)

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