Tetrahedron Circumradius Calculator

How to use Tetrahedron Circumradius Calculator

Enter ✎ value for length of side \((s)\).
The result appears beneath the inputs as you enter values.

About this calculation

The circumradius of a tetrahedron is the radius of the sphere that circumscribes the tetrahedron, meaning it is the distance from the center of the tetrahedron to any of its vertices.

Formula

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

Circumradius = \( \frac{ s \sqrt{6} }{4} \)

where

Calculation

{ "topic": "tetrahedron-circumradius", "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 Circumradius", "category": "Geometry", "shape": "Tetrahedron", "formula_mathjax": "\\( \\frac{ s \\sqrt{6} }{4} \\)", "formula_mathjax_sub": "\\( \\frac{ s \\times \\sqrt{6} }{4} \\)", "formula": "( s * Math.sqrt(6) / 4 )", "op_label": "Circumradius", "output_unit": "units", "description": "The Tetrahedron Circumradius calculator calculates the radius of the circumcircle surrounding the tetrahedron by taking the length of its side as input.", "explanation": "The circumradius of a tetrahedron is the radius of the sphere that circumscribes the tetrahedron, meaning it is the distance from the center of the tetrahedron to any of its vertices." }