Answer :

Given: Length of side of equilateral triangle = 21 cm

Area of the colored portion = Area of the circum circle - Area of ∆BCD

Height of equilateral triangle

The centroid of equilateral triangle is at A and lies on height BE.

⇒ BA = 7√3 cm

So, the radius of the circum circle of this triangle = 7√3 cm.

∵ Area of a circle = πr^{2}

Area of the circum circle

⇒ Area of the circum circle = 462 cm^{2}

We know that

Area of a equilateral triangle where a is the side of it.

⇒ Area of ∆BCD = 190.96cm^{2}

Now, Area of the colored portion = 462 – 190.96

⇒ Area of the colored portion = 271.04 cm^{2}

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