Quickly determine the radius of an inscribed circle (inradius) for any triangle using our intuitive online tool. This calculator employs the Heron's formula and semi-perimeter concept to provide accurate results, simplifying complex geometry problems for students, educators, and professionals.
Formula:
The radius of an inscribed circle (inradius), denoted by r, for a triangle with sides a, b, and c is given by:
r = A / s
Where:
A = Area of the triangle (calculated using Heron's Formula)
s = Semi-perimeter of the triangle
Heron's Formula:
A = √(s(s-a)(s-b)(s-c))
Semi-perimeter:
s = (a + b + c) / 2