Triangle Incircle Calculator

Sidea:
Sideb:
Sidec:
Radius of inscribed circle:
Area of ​​inscribed circle:
Circumference of inscribed circle:

1. Radius (r) = √s(s-a)(s-b)(s-c) / s

2. s = (a + b + c) / 2


What is a Triangle Incircle Calculator?

A Triangle Incircle Calculator is a tool that calculates properties of the incircle of a triangle, such as:

  • Inradius (r): The radius of the largest circle that fits inside the triangle.
  • Incircle Area: The area of this inner circle.
  • Incircle Center (Incenter): The point where the angle bisectors of the triangle meet.

Why use a Triangle Incircle Calculator?

Manually calculating the incircle’s properties requires multiple geometric and algebraic steps. A calculator simplifies the process and reduces errors, making it useful for:

  • Geometry & Trigonometry Problems
  • Engineering & Architecture (for optimal space usage)
  • Design & Art (creating symmetric patterns)

When is a Triangle Incircle Calculator Used?

  • Mathematical & Engineering Applications (construction, trusses, gears)
  • Art & Design (symmetry and patterns)
  • Physics & Mechanics (motion inside confined spaces)
  • Optimization Problems (maximizing circular space inside a triangle)