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Edge Length of Octahedron given Circumsphere Radius Formula

GoEdge Length of Octahedron given Midsphere Radius Formula

GoEdge Length of Octahedron given Insphere Radius 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{2} \cdot r c

l_e - Edge Length of Octahedron?r_c - Circumsphere Radius of Octahedron?

Edge Length of Octahedron given Circumsphere Radius Example

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

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

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

9.8995 = \sqrt{2} \cdot 7

9.8995m = \sqrt{2} \cdot 7m

9.8995 = \sqrt{2} \cdot 7

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Edge Length of Octahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

l e = \sqrt{2} \cdot r c

Next Step Substitute values of Variables

∴

l e = \sqrt{2} \cdot 7m

Next Step Prepare to Evaluate

∴

l e = \sqrt{2} \cdot 7

Next Step Evaluate

∴

l e = 9.89949493661167m

LAST Step Rounding Answer

∴

l e = 9.8995m

Edge Length of Octahedron given Circumsphere 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

Circumsphere Radius of Octahedron

Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere 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 Insphere Radius

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

Go Edge Length of Octahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{2 \cdot \sqrt{3}}}

Go Edge Length of Octahedron given Space Diagonal

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

How to Evaluate Edge Length of Octahedron given Circumsphere Radius?

Edge Length of Octahedron given Circumsphere Radius evaluator uses Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron to evaluate the Edge Length of Octahedron, The Edge Length of Octahedron given Circumsphere Radius formula is defined as the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron and calculated using the circumsphere radius of the Octahedron. Edge Length of Octahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Octahedron given Circumsphere Radius

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

The formula of Edge Length of Octahedron given Circumsphere Radius is expressed as Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron. Here is an example- 9.899495 = sqrt(2)*7.

How to calculate Edge Length of Octahedron given Circumsphere Radius?

With Circumsphere Radius of Octahedron (r_c) we can find Edge Length of Octahedron given Circumsphere Radius using the formula - Edge Length of Octahedron = sqrt(2)*Circumsphere 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=sqrt(6)*Insphere Radius of Octahedron
Edge Length of Octahedron=sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))

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

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

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

Edge Length of Octahedron given Circumsphere 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 Circumsphere Radius can be measured.

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