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Edge Length of Octahedron given Insphere Radius Formula

GoEdge Length of Octahedron given Midsphere Radius Formula

GoEdge Length of Octahedron given Space Diagonal Formula

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Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron. Check FAQs

l e = \sqrt{6} \cdot r i

l_e - Edge Length of Octahedron?r_i - Insphere Radius of Octahedron?

Edge Length of Octahedron given Insphere Radius Example

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Here is how the Edge Length of Octahedron given Insphere Radius equation looks like with Values.

Here is how the Edge Length of Octahedron given Insphere Radius equation looks like with Units.

Here is how the Edge Length of Octahedron given Insphere Radius equation looks like.

9.798 = \sqrt{6} \cdot 4

9.798m = \sqrt{6} \cdot 4m

9.798 = \sqrt{6} \cdot 4

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Edge Length of Octahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Octahedron given Insphere Radius?

FIRST Step Consider the formula

l e = \sqrt{6} \cdot r i

Next Step Substitute values of Variables

∴

l e = \sqrt{6} \cdot 4m

Next Step Prepare to Evaluate

∴

l e = \sqrt{6} \cdot 4

Next Step Evaluate

∴

l e = 9.79795897113271m

LAST Step Rounding Answer

∴

l e = 9.798m

Edge Length of Octahedron given Insphere Radius Formula Elements

Variables

Functions

Edge Length of Octahedron

Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Octahedron

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Octahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Edge Length of Octahedron

Go Edge Length of Octahedron given Midsphere Radius

l e = 2 \cdot r m

Go Edge Length of Octahedron given Space Diagonal

l e = \frac{d Space}{\sqrt{2}}

How to Evaluate Edge Length of Octahedron given Insphere Radius?

Edge Length of Octahedron given Insphere Radius evaluator uses Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron to evaluate the Edge Length of Octahedron, Edge Length of Octahedron given Insphere Radius formula is defined as the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron, and calculated using the insphere radius of the Octahedron. Edge Length of Octahedron is denoted by l_e symbol.

How to evaluate Edge Length of Octahedron given Insphere Radius using this online evaluator? To use this online evaluator for Edge Length of Octahedron given Insphere Radius, enter Insphere Radius of Octahedron (r_i) and hit the calculate button.

FAQs on Edge Length of Octahedron given Insphere Radius

What is the formula to find Edge Length of Octahedron given Insphere Radius?

The formula of Edge Length of Octahedron given Insphere Radius is expressed as Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron. Here is an example- 9.797959 = sqrt(6)*4.

How to calculate Edge Length of Octahedron given Insphere Radius?

With Insphere Radius of Octahedron (r_i) we can find Edge Length of Octahedron given Insphere Radius using the formula - Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Octahedron?

Here are the different ways to Calculate Edge Length of Octahedron-

Edge Length of Octahedron=2*Midsphere Radius of Octahedron
Edge Length of Octahedron=Space Diagonal of Octahedron/sqrt(2)

Can the Edge Length of Octahedron given Insphere Radius be negative?

No, the Edge Length of Octahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Octahedron given Insphere Radius?

Edge Length of Octahedron given Insphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Octahedron given Insphere Radius can be measured.

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