Insphere Radius of Octahedron Calculator

Calculate Insphere Radius



Formula

The formula to calculate the Insphere Radius of Octahedron is:

\[ ri = \frac{le}{\sqrt{6}} \]

Definition

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere. Edge Length of Octahedron is the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

Example Calculation

Let's assume the following values:

Using the formula:

\[ ri = \frac{10}{\sqrt{6}} = 4.08248290463863 \]

The Insphere Radius is 4.08248290463863 Meters.

Conversion Chart

Edge Length (Meters) Insphere Radius (Meters)
9 3.674234614174767
9.5 3.878358759406699
10 4.082482904638630
10.5 4.286607049870562
11 4.490731195102494