Insphere Radius of Tetrahedron Calculator

Calculate Insphere Radius



Formula

The formula to calculate the Insphere Radius of Tetrahedron is:

\[ ri = \frac{le}{2 \cdot \sqrt{6}} \]

Definition

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

Example Calculation

Let's assume the following values:

Using the formula:

\[ ri = \frac{10}{2 \cdot \sqrt{6}} = 2.04124145231932 \]

The Insphere Radius is 2.04124145231932 Meters.

Conversion Chart

Edge Length (Meters) Insphere Radius (Meters)
9 1.837117307087384
9.5 1.939179379703349
10 2.041241452319315
10.5 2.143303524935281
11 2.245365597551247