Answer :

We know that each interior angle of an equilateral triangle is of measure 60°

Area of sector = r^{2}

= x x 6 x 6

= cm^{2}

Area of triangle OAB = x (12)^{2}

= 36 cm^{2}

Area of circle = π*r*^{2}

= × 6 × 6

= cm^{2}

Area of shaded region = Area of ΔOAB + Area of circle - Area of sector

= -

= (36 + ) cm^{2}

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