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Long Diagonal of Octagon Formula

GoLong Diagonal of Octagon given Circumradius Formula

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The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon. Check FAQs

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot l e

d_Long - Long Diagonal of Octagon?l_e - Edge Length of Octagon?

Long Diagonal of Octagon Example

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Here is how the Long Diagonal of Octagon equation looks like with Values.

Here is how the Long Diagonal of Octagon equation looks like with Units.

Here is how the Long Diagonal of Octagon equation looks like.

26.1313 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot 10

26.1313m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot 10m

26.1313 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot 10

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Long Diagonal of Octagon Solution

Follow our step by step solution on how to calculate Long Diagonal of Octagon?

FIRST Step Consider the formula

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot l e

Next Step Substitute values of Variables

∴

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot 10m

Next Step Prepare to Evaluate

∴

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot 10

Next Step Evaluate

∴

d Long = 26.1312592975275m

LAST Step Rounding Answer

∴

d Long = 26.1313m

Long Diagonal of Octagon Formula Elements

Variables

Functions

Long Diagonal of Octagon

The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Octagon

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

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 Long Diagonal of Octagon

Go Long Diagonal of Octagon given Circumradius

d Long = 2 \cdot r c

Other formulas in Long Diagonal of Octagon category

Go Medium Diagonal of Octagon

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

Go Medium Diagonal of Octagon given Inradius

d Medium = 2 \cdot r i

Go Short Diagonal of Octagon

d Short = \sqrt{2 + \sqrt{2}} \cdot l e

Go Short Diagonal of Octagon given Area

d Short = \sqrt{\frac{A}{\sqrt{2}}}

How to Evaluate Long Diagonal of Octagon?

Long Diagonal of Octagon evaluator uses Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon to evaluate the Long Diagonal of Octagon, The Long Diagonal of Octagon formula is defined as the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon. Long Diagonal of Octagon is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Octagon

What is the formula to find Long Diagonal of Octagon?

The formula of Long Diagonal of Octagon is expressed as Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon. Here is an example- 26.13126 = sqrt(4+(2*sqrt(2)))*10.

How to calculate Long Diagonal of Octagon?

With Edge Length of Octagon (l_e) we can find Long Diagonal of Octagon using the formula - Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Long Diagonal of Octagon?

Here are the different ways to Calculate Long Diagonal of Octagon-

Long Diagonal of Octagon=2*Circumradius of Octagon

Can the Long Diagonal of Octagon be negative?

No, the Long Diagonal of Octagon, measured in Length cannot be negative.

Which unit is used to measure Long Diagonal of Octagon?

Long Diagonal of Octagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Diagonal of Octagon can be measured.

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