Radius of circumscribed sphere in a regular octahedron Calculator

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✖The Length of edge of polyhedron. ⓘ Length of edge [a]			+10% -10%
✖A dihedral angle is the angle between two intersecting planes.ⓘ Dihedral Angle [θ]			+10% -10%

✖The radius of a sphere circumscribed around a polyhedron P is called the circumradius of P.ⓘ Radius of circumscribed sphere in a regular octahedron [R]

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Radius of circumscribed sphere in a regular octahedron

< ⎙ 11 Other formulas that you can solve using the same Inputs

Radius of inscribed sphere inside platonic solids

Radius=Length of edge*0.5*cos(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*tan(180/Number of edges in a face)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere around platonic solids

Radius=Length of edge*0.5*sin(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*cos(0.5*Dihedral Angle)) GO

Radius of inscribed sphere inside the regular dodecahedron

Radius=Length of edge*0.5*cos(180/3)/(sin(180/5)*tan(180/5)*cos(0.5*Dihedral Angle)) GO

Radius of inscribed sphere inside the regular icosahedron

Radius=Length of edge*0.5*cos(180/5)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of inscribed sphere inside the regular octahedron

Radius=Length of edge*0.5*cos(180/4)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of inscribed sphere inside regular tetrahedron

Radius=Length of edge*0.5*cos(180/3)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of inscribed sphere inside the cube

Radius=Length of edge*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular dodecahedron

Radius=Length of edge*0.5*sin(180/3)/(sin(180/5)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular icosahedron

Radius=Length of edge*0.5*sin(180/5)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in regular tetrahedron

Radius=Length of edge*0.5*sin(180/3)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a cube

Radius=Length of edge*0.5*sin(180/3)/(sin(180/4)*cos(0.5*Dihedral Angle)) GO

< ⎙ 5 Other formulas that calculate the same Output

Radius of circumscribed sphere around platonic solids

Radius=Length of edge*0.5*sin(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular dodecahedron

Radius=Length of edge*0.5*sin(180/3)/(sin(180/5)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular icosahedron

Radius=Length of edge*0.5*sin(180/5)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in regular tetrahedron

Radius=Length of edge*0.5*sin(180/3)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a cube

Radius=Length of edge*0.5*sin(180/3)/(sin(180/4)*cos(0.5*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular octahedron Formula

Radius=Length of edge*0.5*sin(180/4)/(sin(180/3)*cos(0.5*Dihedral Angle))

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Surface Area of Icosahedron GO

Surface Area of Regular Octahedron GO

Surface Area of Regular Tetrahedron GO

Dihedral Angle of Platonic Solids GO

Radius of circumscribed sphere in regular tetrahedron GO

Radius of circumscribed sphere around platonic solids GO

Radius of circumscribed sphere in a cube GO

Radius of circumscribed sphere in a regular dodecahedron GO

Radius of circumscribed sphere in a regular icosahedron GO

Radius of inscribed sphere inside platonic solids GO

Radius of inscribed sphere inside the regular octahedron GO

Radius of inscribed sphere inside regular tetrahedron GO

Radius of inscribed sphere inside the regular dodecahedron GO

Radius of inscribed sphere inside the regular icosahedron GO

Surface Area of Platonic Solids GO

Volume of Platonic Solids GO

What is Octahedron?

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

How to Calculate Radius of circumscribed sphere in a regular octahedron?

Radius of circumscribed sphere in a regular octahedron calculator uses Radius=Length of edge*0.5*sin(180/4)/(sin(180/3)*cos(0.5*Dihedral Angle)) to calculate the Radius, Radius of circumscribed sphere in a regular octahedron is called the circumradius of the regular octahedron. Radius and is denoted by R symbol.

How to calculate Radius of circumscribed sphere in a regular octahedron using this online calculator? To use this online calculator for Radius of circumscribed sphere in a regular octahedron, enter Dihedral Angle (θ) and Length of edge (a) and hit the calculate button. Here is how the Radius of circumscribed sphere in a regular octahedron calculation can be explained with given input values -> 0.408264 = 1*0.5*sin(180/4)/(sin(180/3)*cos(0.5*1)).

FAQ

What is Radius of circumscribed sphere in a regular octahedron?

Radius of circumscribed sphere in a regular octahedron is called the circumradius of the regular octahedron and is represented as R=a*0.5*sin(180/4)/(sin(180/3)*cos(0.5*θ)) or Radius=Length of edge*0.5*sin(180/4)/(sin(180/3)*cos(0.5*Dihedral Angle)). A dihedral angle is the angle between two intersecting planes and The Length of edge of polyhedron. .

How to calculate Radius of circumscribed sphere in a regular octahedron?

Radius of circumscribed sphere in a regular octahedron is called the circumradius of the regular octahedron is calculated using Radius=Length of edge*0.5*sin(180/4)/(sin(180/3)*cos(0.5*Dihedral Angle)). To calculate Radius of circumscribed sphere in a regular octahedron, you need Dihedral Angle (θ) and Length of edge (a). With our tool, you need to enter the respective value for Dihedral Angle and Length of edge 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 Radius?

In this formula, Radius uses Dihedral Angle and Length of edge. We can use 5 other way(s) to calculate the same, which is/are as follows -

Radius=Length of edge*0.5*sin(180/3)/(sin(180/3)*cos(0.5*Dihedral Angle))
Radius=Length of edge*0.5*sin(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*cos(0.5*Dihedral Angle))
Radius=Length of edge*0.5*sin(180/3)/(sin(180/4)*cos(0.5*Dihedral Angle))
Radius=Length of edge*0.5*sin(180/3)/(sin(180/5)*cos(0.5*Dihedral Angle))
Radius=Length of edge*0.5*sin(180/5)/(sin(180/3)*cos(0.5*Dihedral Angle))

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