FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Area of Octagon Formula

GoArea of Octagon given Edge Length and Inradius Formula

GoArea of Octagon given Circumradius Formula

Fx Copy

LaTeX Copy

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 Example

With values

With units

Only example

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

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

Here is how the Area of Octagon 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}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Area of Octagon

Area of Octagon Solution

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

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 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 Circumradius

A = 2 \cdot \sqrt{2} \cdot {r c}^{2}

Go Area of Octagon given Height

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

Go Area of Octagon given Perimeter

A = (1 + \sqrt{2}) \cdot \frac{P^{2}}{32}

How to Evaluate Area of Octagon?

Area of Octagon evaluator uses Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2 to evaluate the Area of Octagon, Area of Octagon 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 using this online evaluator? To use this online evaluator for Area of Octagon, enter Edge Length of Octagon (l_e) and hit the calculate button.

FAQs on Area of Octagon

What is the formula to find Area of Octagon?

The formula of Area of Octagon 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?

With Edge Length of Octagon (l_e) we can find Area of Octagon 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*sqrt(2)*Circumradius of Octagon^2
Area of Octagon=2*(sqrt(2)-1)*Height of Octagon^2

Can the Area of Octagon be negative?

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

Which unit is used to measure Area of Octagon?

Area of Octagon 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit