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Area of Octagon given Long Diagonal Formula

GoArea of Octagon given Edge Length and Inradius Formula

GoArea of Octagon given Edge Length Formula

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

A = \frac{{d Long}^{2}}{\sqrt{2}}

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

Area of Octagon given Long Diagonal Example

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

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

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

478.0042 = \frac{26^{2}}{\sqrt{2}}

478.0042m² = \frac{{26m}^{2}}{\sqrt{2}}

478.0042 = \frac{26^{2}}{\sqrt{2}}

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Area of Octagon given Long Diagonal Solution

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

FIRST Step Consider the formula

A = \frac{{d Long}^{2}}{\sqrt{2}}

Next Step Substitute values of Variables

∴

A = \frac{{26m}^{2}}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

A = \frac{26^{2}}{\sqrt{2}}

Next Step Evaluate

∴

A = 478.004184082106m²

LAST Step Rounding Answer

∴

A = 478.0042m²

Area of Octagon given Long Diagonal Formula Elements

Variables

Functions

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

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

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 Area of Octagon

Go Area of Octagon given Edge Length and Inradius

A = 4 \cdot l e \cdot r i

Go Area of Octagon given Edge Length

A = 2 \cdot (1 + \sqrt{2}) \cdot {l e}^{2}

Go Area of Octagon given edge

A = 2 \cdot (1 + \sqrt{2}) \cdot {l e}^{2}

Go Area of Octagon given Medium Diagonal

A = 2 \cdot (\sqrt{2} - 1) \cdot {d Medium}^{2}

How to Evaluate Area of Octagon given Long Diagonal?

Area of Octagon given Long Diagonal evaluator uses Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2)) to evaluate the Area of Octagon, The Area of Octagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the long diagonal of the Octagon. Area of Octagon is denoted by A symbol.

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

FAQs on Area of Octagon given Long Diagonal

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

The formula of Area of Octagon given Long Diagonal is expressed as Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2)). Here is an example- 478.0042 = (26^2)/(sqrt(2)).

How to calculate Area of Octagon given Long Diagonal?

With Long Diagonal of Octagon (d_Long) we can find Area of Octagon given Long Diagonal using the formula - Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Octagon?

Here are the different ways to Calculate Area of Octagon-

Area of Octagon=4*Edge Length of Octagon*Inradius of Octagon
Area of Octagon=2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon=2*(1+sqrt(2))*Edge Length of Octagon^2

Can the Area of Octagon given Long Diagonal be negative?

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

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

Area of Octagon given Long Diagonal is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Octagon given Long Diagonal can be measured.

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