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Edge Length of Octagon given Inradius Formula

GoEdge Length of Octagon given Area Formula

GoEdge Length of Octagon given Long Diagonal Formula

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

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

l_e - Edge Length of Octagon?r_i - Inradius of Octagon?

Edge Length of Octagon given Inradius Example

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

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

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

9.9411 = 2 \cdot (\sqrt{2} - 1) \cdot 12

9.9411m = 2 \cdot (\sqrt{2} - 1) \cdot 12m

9.9411 = 2 \cdot (\sqrt{2} - 1) \cdot 12

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Edge Length of Octagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = 2 \cdot (\sqrt{2} - 1) \cdot 12m

Next Step Prepare to Evaluate

∴

l e = 2 \cdot (\sqrt{2} - 1) \cdot 12

Next Step Evaluate

∴

l e = 9.94112549695428m

LAST Step Rounding Answer

∴

l e = 9.9411m

Edge Length of Octagon given Inradius 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

Inradius of Octagon

The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Long Diagonal

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

Go Edge Length of Octagon given Medium Diagonal

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

Go Edge Length of Octagon given Short Diagonal

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

How to Evaluate Edge Length of Octagon given Inradius?

Edge Length of Octagon given Inradius evaluator uses Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon to evaluate the Edge Length of Octagon, The Edge Length of Octagon given Inradius formula is defined as the length of any edge of the Regular Octagon and calculated using the inradius of the Octagon. Edge Length of Octagon is denoted by l_e symbol.

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

FAQs on Edge Length of Octagon given Inradius

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

The formula of Edge Length of Octagon given Inradius is expressed as Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon. Here is an example- 9.941125 = 2*(sqrt(2)-1)*12.

How to calculate Edge Length of Octagon given Inradius?

With Inradius of Octagon (r_i) we can find Edge Length of Octagon given Inradius using the formula - Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius 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-sqrt(2))/2)*Long Diagonal of Octagon
Edge Length of Octagon=(sqrt(2)-1)*Medium Diagonal of Octagon

Can the Edge Length of Octagon given Inradius be negative?

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

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

Edge Length of Octagon given Inradius 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 Inradius can be measured.

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