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Area of Octagon given edge 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 = 2 \cdot (1 + \sqrt{2}) \cdot {l e}^{2}

A - Area of Octagon?l_e - Edge Length of Octagon?

Area of Octagon given edge Example

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

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

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

482.8427 = 2 \cdot (1 + \sqrt{2}) \cdot 10^{2}

482.8427m² = 2 \cdot (1 + \sqrt{2}) \cdot {10m}^{2}

482.8427 = 2 \cdot (1 + \sqrt{2}) \cdot 10^{2}

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Area of Octagon given edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 2 \cdot (1 + \sqrt{2}) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

A = 2 \cdot (1 + \sqrt{2}) \cdot 10^{2}

Next Step Evaluate

∴

A = 482.842712474619m²

LAST Step Rounding Answer

∴

A = 482.8427m²

Area of Octagon given edge 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

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 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 Long Diagonal

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

Area of Octagon given edge evaluator uses Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2 to evaluate the Area of Octagon, Area of Octagon given edge formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon. Area of Octagon is denoted by A symbol.

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

FAQs on Area of Octagon given edge

What is the formula to find Area of Octagon given edge?

The formula of Area of Octagon given edge is expressed as Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2. Here is an example- 482.8427 = 2*(1+sqrt(2))*10^2.

How to calculate Area of Octagon given edge?

With Edge Length of Octagon (l_e) we can find Area of Octagon given edge using the formula - Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^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=(Long Diagonal of Octagon^2)/(sqrt(2))

Can the Area of Octagon given edge be negative?

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

Which unit is used to measure Area of Octagon given edge?

Area of Octagon given edge 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 edge can be measured.

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