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Area of a Circle

Find the area...

Question

Find the area of the shaded region in the given figure, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.

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Solution

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

Area of sector OCDE

Area of

Area of circle = πr²

Area of shaded region = Area of ΔOAB + Area of circle − Area of sector OCDE

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