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Long Diagonal of Octagon given Area Formula

GoLong Diagonal of Octagon Formula

GoLong Diagonal of Octagon given Medium Diagonal 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{\sqrt{2} \cdot A}

d_Long - Long Diagonal of Octagon?A - Area of Octagon?

Long Diagonal of Octagon given Area Example

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With units

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

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

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

26.0542 = \sqrt{\sqrt{2} \cdot 480}

26.0542m = \sqrt{\sqrt{2} \cdot 480m²}

26.0542 = \sqrt{\sqrt{2} \cdot 480}

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Long Diagonal of Octagon given Area Solution

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

FIRST Step Consider the formula

d Long = \sqrt{\sqrt{2} \cdot A}

Next Step Substitute values of Variables

∴

d Long = \sqrt{\sqrt{2} \cdot 480m²}

Next Step Prepare to Evaluate

∴

d Long = \sqrt{\sqrt{2} \cdot 480}

Next Step Evaluate

∴

d Long = 26.0542224973052m

LAST Step Rounding Answer

∴

d Long = 26.0542m

Long Diagonal of Octagon given Area 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

Area of Octagon

The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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

Go Long Diagonal of Octagon given Medium Diagonal

d Long = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot d Medium

Go Long Diagonal of Octagon given Short Diagonal

d Long = \sqrt{2} \cdot d Short

Go Long Diagonal of Octagon given Height

d Long = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot h

How to Evaluate Long Diagonal of Octagon given Area?

Long Diagonal of Octagon given Area evaluator uses Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon) to evaluate the Long Diagonal of Octagon, The Long Diagonal of Octagon given Area formula is defined as the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon, and calculated using the area of the Octagon. Long Diagonal of Octagon is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Octagon given Area

What is the formula to find Long Diagonal of Octagon given Area?

The formula of Long Diagonal of Octagon given Area is expressed as Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon). Here is an example- 26.05422 = sqrt(sqrt(2)*480).

How to calculate Long Diagonal of Octagon given Area?

With Area of Octagon (A) we can find Long Diagonal of Octagon given Area using the formula - Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon). This formula also uses Square Root (sqrt) 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=sqrt(4+(2*sqrt(2)))*Edge Length of Octagon
Long Diagonal of Octagon=sqrt(4-(2*sqrt(2)))*Medium Diagonal of Octagon
Long Diagonal of Octagon=sqrt(2)*Short Diagonal of Octagon

Can the Long Diagonal of Octagon given Area be negative?

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

Which unit is used to measure Long Diagonal of Octagon given Area?

Long Diagonal of Octagon given Area 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 given Area can be measured.

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