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Edge Length of Octagon given Circumradius Formula

GoEdge Length of Octagon given Area Formula

GoEdge Length of Octagon given Height Formula

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The Edge Length of Octagon is the length of any edge of the Regular Octagon. Check FAQs

l e = (\sqrt{2 - \sqrt{2}}) \cdot r c

l_e - Edge Length of Octagon?r_c - Circumradius of Octagon?

Edge Length of Octagon given Circumradius Example

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Here is how the Edge Length of Octagon given Circumradius equation looks like with Values.

Here is how the Edge Length of Octagon given Circumradius equation looks like with Units.

Here is how the Edge Length of Octagon given Circumradius equation looks like.

9.9498 = (\sqrt{2 - \sqrt{2}}) \cdot 13

9.9498m = (\sqrt{2 - \sqrt{2}}) \cdot 13m

9.9498 = (\sqrt{2 - \sqrt{2}}) \cdot 13

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Edge Length of Octagon given Circumradius Solution

Follow our step by step solution on how to calculate Edge Length of Octagon given Circumradius?

FIRST Step Consider the formula

l e = (\sqrt{2 - \sqrt{2}}) \cdot r c

Next Step Substitute values of Variables

∴

l e = (\sqrt{2 - \sqrt{2}}) \cdot 13m

Next Step Prepare to Evaluate

∴

l e = (\sqrt{2 - \sqrt{2}}) \cdot 13

Next Step Evaluate

∴

l e = 9.94976924149233m

LAST Step Rounding Answer

∴

l e = 9.9498m

Edge Length of Octagon given Circumradius Formula Elements

Variables

Functions

Edge Length of Octagon

The Edge Length of Octagon is the length of any edge of the Regular Octagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Octagon

Circumradius of Octagon

The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Octagon

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 Octagon

Go Edge Length of Octagon given Area

l e = \sqrt{(\sqrt{2} - 1) \cdot (\frac{A}{2})}

Go Edge Length of Octagon given Height

l e = (\sqrt{2} - 1) \cdot h

Go Edge Length of Octagon given Long Diagonal

l e = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot d Long

How to Evaluate Edge Length of Octagon given Circumradius?

Edge Length of Octagon given Circumradius evaluator uses Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon to evaluate the Edge Length of Octagon, The Edge Length of Octagon given Circumradius formula is defined as the length of any edge of the Regular Octagon and calculated using the circumradius of the Octagon. Edge Length of Octagon is denoted by l_e symbol.

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

FAQs on Edge Length of Octagon given Circumradius

What is the formula to find Edge Length of Octagon given Circumradius?

The formula of Edge Length of Octagon given Circumradius is expressed as Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon. Here is an example- 9.949769 = (sqrt(2-sqrt(2)))*13.

How to calculate Edge Length of Octagon given Circumradius?

With Circumradius of Octagon (r_c) we can find Edge Length of Octagon given Circumradius using the formula - Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon. This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Octagon=sqrt((sqrt(2)-1)*(Area of Octagon/2))
Edge Length of Octagon=(sqrt(2)-1)*Height of Octagon
Edge Length of Octagon=(sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon

Can the Edge Length of Octagon given Circumradius be negative?

No, the Edge Length of Octagon given Circumradius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Octagon given Circumradius?

Edge Length of Octagon given Circumradius 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 Octagon given Circumradius can be measured.

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