A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersect at A enclosing an angle of $60^o$. The area enclosed by these tangents and the arc of the circle is
A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersect at A enclosing an angle of $60^o$. The area enclosed by these tangents and the arc of the circle is
- A
$\frac{2}{{\sqrt 3 }} - \frac{\pi }{6}$
- B
$\sqrt 3 - \frac{\pi }{3}$
- C
$\frac{\pi }{3}-\frac{{\sqrt 3 }}{6}$
- D
$\sqrt 3 \,\left( {1\; - \;\frac{\pi }{6}} \right)$
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- [IIT 2002]
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