Tetrahedron Inradius Calculator

Calculate Tetrahedron Inradius - 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.

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).

Tetrahedron Inradius

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.

Formula

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

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

where

Calculation

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{
  "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",
  "description": "The Tetrahedron Inradius calculator calculates the radius of the incircle of tetrahedron by taking the length of its side as input.",
  "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."
}