InscribedTriangleCalculator

How to Use the InscribedTriangleCalculator

The InscribedTriangleCalculator is designed to calculate the area of a triangle that is inscribed in a circle (circumcircle) given the radius of the inscribed circle (inradius) and the semiperimeter of the triangle.

Input Parameters

• Radius of Inscribed Circle (r): This is the radius of the circle that is tangent to all three sides of the triangle.
• Semiperimeter (s): This is half of the perimeter of the triangle, calculated as (a + b + c) / 2, where a, b, and c are the lengths of the sides of the triangle.

Calculation Formula

The area (A) of the inscribed triangle is calculated using the formula:

A = r * s

Where:

• r = Radius of the inscribed circle
• s = Semiperimeter of the triangle

Example

If the radius of the inscribed circle is 3 units and the semiperimeter of the triangle is 10 units, the area of the triangle would be:

A = 3 * 10 = 30 square units