Q 1202178938.     A point is selected random inside a equilateral triangle whose length of side is `3` . Find the probability that its distance from any corner is greater than `1`.

A

`1-(2 pi)/(9 sqrt 3)`

B

`1-(2 pi)/(9 sqrt 2)`

C

`1-(2 pi)/(3 sqrt 3)`

D

`1-( pi)/(9 sqrt 3)`

HINT

Use, Area of sector `= (r^2 theta)/2`
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