Radius of circumscribed sphere in a cube Calculator

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3D-Geometry	Platonic Solids ↺

✖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 cube [R]

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Radius of circumscribed sphere in a cube

< 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 a regular octahedron

Radius=Length of edge*0.5*sin(180/4)/(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

< 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 a regular octahedron

Radius=Length of edge*0.5*sin(180/4)/(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 Formula

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

More formulas

Volume of a Cube GO

Surface Area of a Cube GO

Volume of Regular Dodecahedron GO

Volume of Regular Icosahedron GO

Volume of Regular Octahedron GO

Volume of Regular Tetrahedron GO

Surface Area of Dodecahedron GO

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 regular octahedron 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

Edge of Regular Octahedron GO

What is a Cube?

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

How to Calculate Radius of circumscribed sphere in a cube?

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

How to calculate Radius of circumscribed sphere in a cube using this online calculator? To use this online calculator for Radius of circumscribed sphere in a cube, enter Dihedral Angle (θ) and Length of edge (a) and hit the calculate button. Here is how the Radius of circumscribed sphere in a cube calculation can be explained with given input values -> 0.612396 = 1*0.5*sin(180/3)/(sin(180/4)*cos(0.5*1)).

FAQ

What is Radius of circumscribed sphere in a cube?

Radius of circumscribed sphere in a cube is called the circumradius of the cube and is represented as R=a*0.5*sin(180/3)/(sin(180/4)*cos(0.5*θ)) or Radius=Length of edge*0.5*sin(180/3)/(sin(180/4)*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 cube?

Radius of circumscribed sphere in a cube is called the circumradius of the cube is calculated using Radius=Length of edge*0.5*sin(180/3)/(sin(180/4)*cos(0.5*Dihedral Angle)). To calculate Radius of circumscribed sphere in a cube, 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(180/4)/(sin(180/3)*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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