Circumsphere Radius of Disphenoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Disphenoid = sqrt((Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2)/8)
rc = sqrt((Sa^2+Sb^2+Sc^2)/8)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Circumsphere Radius of Disphenoid - (Measured in Meter) - Circumsphere Radius of Disphenoid is the radius of the sphere that contains the Disphenoid in such a way that all the vertices are lying on the sphere.
Side A of Disphenoid - (Measured in Meter) - Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid.
Side B of Disphenoid - (Measured in Meter) - Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid.
Side C of Disphenoid - (Measured in Meter) - Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.
STEP 1: Convert Input(s) to Base Unit
Side A of Disphenoid: 10 Meter --> 10 Meter No Conversion Required
Side B of Disphenoid: 13 Meter --> 13 Meter No Conversion Required
Side C of Disphenoid: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt((Sa^2+Sb^2+Sc^2)/8) --> sqrt((10^2+13^2+15^2)/8)
Evaluating ... ...
rc = 7.85811682275086
STEP 3: Convert Result to Output's Unit
7.85811682275086 Meter --> No Conversion Required
FINAL ANSWER
7.85811682275086 7.858117 Meter <-- Circumsphere Radius of Disphenoid
(Calculation completed in 00.004 seconds)

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Circumsphere Radius of Disphenoid Calculators

Circumsphere Radius of Disphenoid
​ LaTeX ​ Go Circumsphere Radius of Disphenoid = sqrt((Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2)/8)

Circumsphere Radius of Disphenoid Formula

​LaTeX ​Go
Circumsphere Radius of Disphenoid = sqrt((Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2)/8)
rc = sqrt((Sa^2+Sb^2+Sc^2)/8)

What is a Disphenoid?

In geometry, a Disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described as a tetrahedron in which every two edges that are opposite each other have equal lengths. Other names for the same shape are sphenoid, bisphenoid, isosceles tetrahedron, equifacial tetrahedron, almost regular tetrahedron, and tetramonohedron. All the solid angles and vertex figures of a Disphenoid are the same, and the sum of the face angles at each vertex is equal to two right angles. However, a Disphenoid is not a regular polyhedron, because, in general, its faces are not regular polygons, and its edges have three different lengths.

How to Calculate Circumsphere Radius of Disphenoid?

Circumsphere Radius of Disphenoid calculator uses Circumsphere Radius of Disphenoid = sqrt((Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2)/8) to calculate the Circumsphere Radius of Disphenoid, Circumsphere Radius of Disphenoid formula is defined as the radius of the sphere that contains the Disphenoid in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Disphenoid is denoted by rc symbol.

How to calculate Circumsphere Radius of Disphenoid using this online calculator? To use this online calculator for Circumsphere Radius of Disphenoid, enter Side A of Disphenoid (Sa), Side B of Disphenoid (Sb) & Side C of Disphenoid (Sc) and hit the calculate button. Here is how the Circumsphere Radius of Disphenoid calculation can be explained with given input values -> 7.858117 = sqrt((10^2+13^2+15^2)/8).

FAQ

What is Circumsphere Radius of Disphenoid?
Circumsphere Radius of Disphenoid formula is defined as the radius of the sphere that contains the Disphenoid in such a way that all the vertices are lying on the sphere and is represented as rc = sqrt((Sa^2+Sb^2+Sc^2)/8) or Circumsphere Radius of Disphenoid = sqrt((Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2)/8). Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid, Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid & Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.
How to calculate Circumsphere Radius of Disphenoid?
Circumsphere Radius of Disphenoid formula is defined as the radius of the sphere that contains the Disphenoid in such a way that all the vertices are lying on the sphere is calculated using Circumsphere Radius of Disphenoid = sqrt((Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2)/8). To calculate Circumsphere Radius of Disphenoid, you need Side A of Disphenoid (Sa), Side B of Disphenoid (Sb) & Side C of Disphenoid (Sc). With our tool, you need to enter the respective value for Side A of Disphenoid, Side B of Disphenoid & Side C of Disphenoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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