A circle is inscribed in an equilateral triangle with a side of 8 cm. Find the radius of a circle
| February 4, 2021 | education
The radius of a circle inscribed in an equilateral (regular) triangle is found by the formula:
r = a√3 / 6,
where r is the radius of the inscribed circle, and is the side of an equilateral triangle.
Substitute the known values into the formula and find the length of the inscribed circle radius:
r = 8 * √3 / 6 = 4√3 / 3 (cm).
Answer: r = 4√3 / 3 cm.
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