Find the area of equilateral triangle

3·1/2·4^2·SIN(1/3·360°) = 20.78

 The required area of the given equilateral triangle is 20.78 ft².

Step-by-step explanation:  We are given to find the area of the equilateral triangle shown in the figure.

We know that the area of an equilateral triangle having radius of circumscribed circle equal to r units is given by

For the given equilateral triangle, we have

r = 4 ft.

Therefore, the area of the given equilateral triangle is

Thus, the required area of the given equilateral triangle is 20.78 ft².

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