Find the area of a circle if the circumference of the circle is circumscribed about a triangle with side 2√3

We will assume that the triangle is correct, otherwise there is no possibility for a solution.
The radius of a circle circumscribed around a regular triangle is determined from the following expression:
R = a / √3
Substitute the numbers:
R = a / √3 = 2 * √3 / √3 = 2 cm.
Area of a circle:
S = π * R²
Substitute the numbers:
S = π * R² = 3.14 * 2 * 2 = 12.56 cm.
Answer: the area of the circle is 12.56 cm.



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