Radius of the inscribed and circumscribed circle of a triangle

The online calculator is designed to determine the radius of the inscribed and circumscribed circle of a triangle based on the input lengths of its sides.

To find the radius of the inscribed circle r and the radius of the circumscribed circle R of a triangle, if the lengths of its sides are known a, b, c, you can use the following formulas:

Radius of the inscribed circle: r = √((s - a)(s - b)(s - c) / s)
where s - semi-perimeter of the triangle, which is calculated as s = (a + b + c) / 2.

Radius of the circumscribed circle: R = (abc) / (4 * S)
where S - area of the triangle, which can be found using Heron's formula: S = √(s(s - a)(s - b)(s - c))

Substitute the values of the triangle's side lengths into the corresponding formulas to find the radius of the inscribed and circumscribed circle.