Choose the correct alternative.A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersects at A enclosing an angle `60^@`.The area enclosed by these tangents and the area of the circle is

Options

A. `(2)/(sqrt(3))-(pi)/(6)`
B. `sqrt(3)-(pi)/(3)`
C. `(pi)/(3)-(sqrt(3))/(6)`
D. `sqrt(3) (1-(pi)/(6))`

Answer

B