Discussion

Explanation:

Let OC = OD = x

△OCD is an equilateral triangle of side x. [All angles are 60 degree.]

A(△OCD) = 34x2

A(sector O-AB) = 60360×π(1)2 = π6

By the given condition,

34x2 = 12×π6

∴ x2π33

∴ x = π331/2

Hence, option (b).

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