Find the area of a circle circumscribed about a regular triangle with side 12.
| June 11, 2021 | education
Knowing the side of an equilateral triangle, we find the radius of the circumscribed circle by the formula:
R = a / √3 = 12 / √3 = 4√3.
The radius is known, we find the area of the circle using the formula:
S = π * R² = 3.14 * (4√3) ² = 3.14 * 48 = 150.72.
Answer: the area of the circumscribed circle is 150.72.
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