Circumsphere Radius of Tetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron
rc = 3*ri
This formula uses 2 Variables
Variables Used
Circumsphere Radius of Tetrahedron - (Measured in Meter) - Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.
Insphere Radius of Tetrahedron - (Measured in Meter) - 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 touching the sphere.
STEP 1: Convert Input(s) to Base Unit
Insphere Radius of Tetrahedron: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = 3*ri --> 3*2
Evaluating ... ...
rc = 6
STEP 3: Convert Result to Output's Unit
6 Meter --> No Conversion Required
FINAL ANSWER
6 Meter <-- Circumsphere Radius of Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
Divanshi Jain has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has verified this Calculator and 400+ more calculators!

8 Circumsphere Radius of Tetrahedron Calculators

Circumsphere Radius of Tetrahedron given Total Surface Area
​ Go Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
Circumsphere Radius of Tetrahedron given Face Area
​ Go Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt((4*Face Area of Tetrahedron)/sqrt(3))
Circumsphere Radius of Tetrahedron given Volume
​ Go Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3)
Circumsphere Radius of Tetrahedron
​ Go Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*Edge Length of Tetrahedron
Circumsphere Radius of Tetrahedron given Midsphere Radius
​ Go Circumsphere Radius of Tetrahedron = sqrt(3)*Midsphere Radius of Tetrahedron
Circumsphere Radius of Tetrahedron given Surface to Volume Ratio
​ Go Circumsphere Radius of Tetrahedron = 9/Surface to Volume Ratio of Tetrahedron
Circumsphere Radius of Tetrahedron given Insphere Radius
​ Go Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron
Circumsphere Radius of Tetrahedron given Height
​ Go Circumsphere Radius of Tetrahedron = 3/4*Height of Tetrahedron

Circumsphere Radius of Tetrahedron given Insphere Radius Formula

Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron
rc = 3*ri

What is a Tetrahedron?

A Tetrahedron is a symmetric and closed three dimensional shape with 4 identical equilateral triangular faces. It is a Platonic solid, which has 4 faces, 4 vertices and 6 edges. At each vertex, three equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Circumsphere Radius of Tetrahedron given Insphere Radius?

Circumsphere Radius of Tetrahedron given Insphere Radius calculator uses Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron to calculate the Circumsphere Radius of Tetrahedron, The Circumsphere Radius of Tetrahedron given Insphere Radius formula is defined as the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere, calculated using Insphere Radius. Circumsphere Radius of Tetrahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Tetrahedron given Insphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Tetrahedron given Insphere Radius, enter Insphere Radius of Tetrahedron (ri) and hit the calculate button. Here is how the Circumsphere Radius of Tetrahedron given Insphere Radius calculation can be explained with given input values -> 6 = 3*2.

FAQ

What is Circumsphere Radius of Tetrahedron given Insphere Radius?
The Circumsphere Radius of Tetrahedron given Insphere Radius formula is defined as the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere, calculated using Insphere Radius and is represented as rc = 3*ri or Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron. 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 touching the sphere.
How to calculate Circumsphere Radius of Tetrahedron given Insphere Radius?
The Circumsphere Radius of Tetrahedron given Insphere Radius formula is defined as the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere, calculated using Insphere Radius is calculated using Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron. To calculate Circumsphere Radius of Tetrahedron given Insphere Radius, you need Insphere Radius of Tetrahedron (ri). With our tool, you need to enter the respective value for Insphere Radius of Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Circumsphere Radius of Tetrahedron?
In this formula, Circumsphere Radius of Tetrahedron uses Insphere Radius of Tetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Tetrahedron = 3/4*Height of Tetrahedron
  • Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*Edge Length of Tetrahedron
  • Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt((4*Face Area of Tetrahedron)/sqrt(3))
  • Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
  • Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3)
  • Circumsphere Radius of Tetrahedron = 9/Surface to Volume Ratio of Tetrahedron
  • Circumsphere Radius of Tetrahedron = sqrt(3)*Midsphere Radius of Tetrahedron
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!