geometry calculator

Regular Tetrahedron Circumradius Calculator

Use this advanced page when you need center-to-vertex distance for regular tetrahedron modeling, bounding spheres, or geometric validation.

CAD and geometry users deriving vertex reach from edge length for enclosing sphere and clearance checks.

Reach Precision Toggle

Vertex Reach Radius With Precision Toggle

Switch between quick design view and strict readout before using the radius.

Circumradius measures the radius of the sphere passing through all tetrahedron vertices and scales directly with edge length.

Fast readout favors concise display for rapid decisions.

Regular Tetrahedron Circumradius Output

Enter values to see the result.

Circumsphere Assumptions

Applying the inradius formula by accident.
Copying edge length in one unit and reading output in another.
Treating rounded intermediate constants as exact.

Edge Length to Vertex Reach

circumradius = edge x sqrt(6) / 4

The circumradius reaches from the tetrahedron center to any vertex.

Circumradius Scale Checks

edgecircumradius
63.6742
6.023.6865

Continue From Circumradius To Adjacent Geometry Checks

If you need the inscribed-sphere radius instead, open Regular Tetrahedron Inradius Calculator.

If you move from solid radius to face area workflows, use Regular Hexagon Area Calculator.

If your model transitions to prism surfaces, calculate with Right Triangular Prism Surface Area Calculator.

If edge uncertainty needs tolerance bands, apply Percentage Calculator.

If formulas include radicals from edge transforms, use Square Root Calculator.

If solid dimensions are sourced in another unit set, convert with CM to Inches Converterbefore substitution.

Next Regular Tetrahedron Circumradius Moves

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.