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Circumradius of Cuboctahedron given edge length Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Edge length
rc = a
This formula uses 1 Variables
Variables Used
Edge length - The Edge length is the length of the edge of the unit cell. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Edge length: 50 Centimeter --> 0.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = a --> 0.5
Evaluating ... ...
rc = 0.5
STEP 3: Convert Result to Output's Unit
0.5 Meter --> No Conversion Required
FINAL ANSWER
0.5 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

7 Cuboctahedron Calculators

Surface to volume ratio of Cuboctahedron given edge length
surface_to_volume_ratio = (18+6*sqrt(3))/(5*sqrt(2)*Edge length) Go
Edge length of Cuboctahedron given surface area
edge_length = sqrt(Surface Area/(2*(3+sqrt(3)))) Go
Surface area of Cuboctahedron given edge length
surface_area = 2*(Edge length^2)*(3+sqrt(3)) Go
Edge length of Cuboctahedron given volume
edge_length = (Volume/((5/3)*sqrt(2)))^(1/3) Go
Volume of Cuboctahedron given edge length
volume = (5/3)*sqrt(2)*(Edge length^3) Go
Midradius of Cuboctahedron given edge length
midradius = (Edge length/2)*sqrt(3) Go
Circumradius of Cuboctahedron given edge length
circumradius = Edge length Go

Circumradius of Cuboctahedron given edge length Formula

circumradius = Edge length
rc = a

What is a cuboctahedron?

A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

How to Calculate Circumradius of Cuboctahedron given edge length?

Circumradius of Cuboctahedron given edge length calculator uses circumradius = Edge length to calculate the Circumradius, Circumradius of Cuboctahedron given edge length formula is defined as a straight line connecting circumcenter and a point on circumcircle. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Cuboctahedron given edge length using this online calculator? To use this online calculator for Circumradius of Cuboctahedron given edge length, enter Edge length (a) and hit the calculate button. Here is how the Circumradius of Cuboctahedron given edge length calculation can be explained with given input values -> 0.5 = 0.5.

FAQ

What is Circumradius of Cuboctahedron given edge length?
Circumradius of Cuboctahedron given edge length formula is defined as a straight line connecting circumcenter and a point on circumcircle and is represented as rc = a or circumradius = Edge length. The Edge length is the length of the edge of the unit cell.
How to calculate Circumradius of Cuboctahedron given edge length?
Circumradius of Cuboctahedron given edge length formula is defined as a straight line connecting circumcenter and a point on circumcircle is calculated using circumradius = Edge length. To calculate Circumradius of Cuboctahedron given edge length, you need Edge length (a). With our tool, you need to enter the respective value for Edge length 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 Circumradius?
In this formula, Circumradius uses Edge length. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • surface_area = 2*(Edge length^2)*(3+sqrt(3))
  • edge_length = sqrt(Surface Area/(2*(3+sqrt(3))))
  • volume = (5/3)*sqrt(2)*(Edge length^3)
  • edge_length = (Volume/((5/3)*sqrt(2)))^(1/3)
  • circumradius = Edge length
  • midradius = (Edge length/2)*sqrt(3)
  • surface_to_volume_ratio = (18+6*sqrt(3))/(5*sqrt(2)*Edge length)
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