Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.

1
\(\frac{1}{2}\left( {9\sqrt 3 - \frac{{11}}{7}} \right)~\) unit2
2
\(\frac{1}{4}\left( {9\sqrt 3 - \frac{{11}}{7}} \right)~\) unit2
3
\(\frac{1}{2}\left( {6\sqrt 3 - \frac{{11}}{7}} \right)~\) unit2
4
More than one of the above
5
None of the above

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