Tetrahedron Inradius Calculator

(length of side)

units

Inradius (r)

units

View Calculation

How to use this Tetrahedron Inradius Calculator 🤔

Enter ✎ value for length of side (s).
As soon as you enter the required input value(s), the Tetrahedron Inradius is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the tetrahedron inradius, you can use the following formula.

\(r = \) \( \frac{ s \sqrt{6} }{12} \)

where

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

Geometry Calculators

Ellipse Calculators
Ellipse Area Calculator

Right Triangle Calculators
Right Angle Triangle Hypotenuse Calculator
Right Angle Triangle Area Calculator

Equilateral Triangle Calculators
Equilateral Triangle Perimeter Calculator
Equilateral Triangle Area Calculator

Kite Calculators
Kite Area Calculator

Quadrilateral Calculators
Quadrilateral Area Calculator

{
  "topic": "tetrahedron-inradius",
  "input_types": [
    "float"
  ],
  "input_labels": [
    "s"
  ],
  "input_values": [
    "8"
  ],
  "input_units": [
    "units"
  ],
  "input_descriptions": [
    "length of side"
  ],
  "examples": [
    {
      "s": 20
    },
    {
      "s": 1
    }
  ],
  "type": "Calculate",
  "title": "Tetrahedron Inradius",
  "category": "Geometry",
  "shape": "Tetrahedron",
  "formula_mathjax": "\\( \\frac{ s \\sqrt{6} }{12} \\)",
  "formula_mathjax_sub": "\\( \\frac{ s \\times \\sqrt{6} }{12} \\)",
  "formula": "( s * Math.sqrt(6) / 12 )",
  "op_label": "Inradius",
  "output_unit": "units",
  "explanation": "The inradius of a tetrahedron, which is the radius of the largest sphere that can fit inside the tetrahedron, is half the length of the tetrahedron's edge."
}