Equilateral triangles ABC with a side of 8 cm, inscribed in a circle. Find the radius?

univerkov | November 29, 2020 | education

A regular triangle is inscribed in a circle => for it you need to find the radius of the circumscribed circle. R = a / (2 * sin (180 ° / n)), where a is the length of the side, n is the number of sides in the polygon. R = 8 / (2 * sin (60 °)) = 4 / sin (60 °) = 4 / √ (3) / 2 = 8 / √ (3) see √ (x) is the arithmetic square root of x.
Answer: R = 8 / √ (3) see.

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