The side of a regular triangle circumscribed about a circle is 4 cm. Find the length of this circle.
| February 7, 2021 | education
The formula for the circumference is C = 2пr. Since the circle is inscribed in a regular triangle, its radius can be found by the formula r = a * √3 / 6, where a is the side of this regular triangle. Let’s write down the complete formula for the circumference and calculate:
C = 2n * a * √3 / 6 = 2 * 3.14 * 4 * 1.73 / 6 = 7.25 (cm).
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