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3. Geometry
4. Cube Circumradius

\(s\)

(length of side)

units

Circumradius

units

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How to use Cube Circumradius Calculator

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

About this calculation

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

Formula

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

Circumradius = \( \frac{ s \sqrt{3} }{2} \)

where

Calculation

{
  "topic": "cube-circumradius",
  "img": {
    "width": 215,
    "height": 233
  },
  "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": "Cube Circumradius",
  "category": "Geometry",
  "shape": "Cube",
  "formula_mathjax": "\\( \\frac{ s \\sqrt{3} }{2} \\)",
  "formula_mathjax_sub": "\\( \\frac{ s \\times 1.732 }{2} \\)",
  "formula": "( s * Math.sqrt(3) / 2 )",
  "op_label": "Circumradius",
  "output_unit": "units",
  "description": "The Cube Circumradius calculator calculates the radius of the circumcircle of a cube by taking the length of its side as input.",
  "explanation": "The circumradius of a cube is the radius of the sphere that circumscribes the cube, meaning it is the distance from the center of the cube to any of its vertices."
}