Diameter of Hypersphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Hypersphere = 2*Radius of Hypersphere
D = 2*r
This formula uses 2 Variables
Variables Used
Diameter of Hypersphere - (Measured in Meter) - The Diameter of Hypersphere is twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.
Radius of Hypersphere - (Measured in Meter) - The Radius of Hypersphere is the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.
STEP 1: Convert Input(s) to Base Unit
Radius of Hypersphere: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = 2*r --> 2*5
Evaluating ... ...
D = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Diameter of Hypersphere
(Calculation completed in 00.004 seconds)

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IIT Madras (IIT Madras), Chennai
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3 Diameter of Hypersphere Calculators

Diameter of Hypersphere given Surface Volume
Go Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3)
Diameter of Hypersphere given Hypervolume
Go Diameter of Hypersphere = 2*((2*Hypervolume of Hypersphere)/pi^2)^(1/4)
Diameter of Hypersphere
Go Diameter of Hypersphere = 2*Radius of Hypersphere

Diameter of Hypersphere Formula

Diameter of Hypersphere = 2*Radius of Hypersphere
D = 2*r

What is a Hypersphere?

Hypersphere is basically the sphere in 4th dimension. This is the expansion of circle (2D) and sphere (3D) into a fourth dimension of space. This doesn't exist in our three-dimensional world, but calculations regarding Hyperspheres can easily be done by extending the formulas of 3D sphere into 4D.

How to Calculate Diameter of Hypersphere?

Diameter of Hypersphere calculator uses Diameter of Hypersphere = 2*Radius of Hypersphere to calculate the Diameter of Hypersphere, The Diameter of Hypersphere is twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D. Diameter of Hypersphere is denoted by D symbol.

How to calculate Diameter of Hypersphere using this online calculator? To use this online calculator for Diameter of Hypersphere, enter Radius of Hypersphere (r) and hit the calculate button. Here is how the Diameter of Hypersphere calculation can be explained with given input values -> 10 = 2*5.

FAQ

What is Diameter of Hypersphere?
The Diameter of Hypersphere is twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D and is represented as D = 2*r or Diameter of Hypersphere = 2*Radius of Hypersphere. The Radius of Hypersphere is the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.
How to calculate Diameter of Hypersphere?
The Diameter of Hypersphere is twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D is calculated using Diameter of Hypersphere = 2*Radius of Hypersphere. To calculate Diameter of Hypersphere, you need Radius of Hypersphere (r). With our tool, you need to enter the respective value for Radius of Hypersphere 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 Diameter of Hypersphere?
In this formula, Diameter of Hypersphere uses Radius of Hypersphere. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Hypersphere = 2*((2*Hypervolume of Hypersphere)/pi^2)^(1/4)
  • Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3)
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