Circumscribed Triangle Calculator

Circumscribed Triangle Calculator calculator can be used to find the circumradius of a triangle given the lengths of its sides.

Input Parameters

Calculation Results

Calculation Formula

R = (a * b * c) / (4 * sqrt((s * (s - a) * (s - b) * (s - c))))

Where:
R = Circumradius
a, b, c = Side lengths of the triangle
s = Semi-perimeter of the triangle (s = (a + b + c) / 2)

Circumscribed Triangle Calculator Calculator Usage Guide

Learn how to use the Circumscribed Triangle Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the lengths of the three sides of the triangle (a, b, c) in the input fields.
  2. Click the "Calculate" button to compute the circumradius.
  3. The circumradius (R) will be displayed in the result field.
  4. If you need to start over, click the "Reset" button to clear all input fields.

Understanding the Formula

The circumradius (R) of a triangle is the radius of the circumscribed circle around the triangle. The formula used in this calculator is:

R = (a * b * c) / (4 * sqrt((s * (s - a) * (s - b) * (s - c))))

Where:

  • a, b, c are the lengths of the sides of the triangle.
  • s is the semi-perimeter of the triangle, calculated as (a + b + c) / 2.

This formula ensures that the circumradius is accurately calculated for any valid triangle.