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Area of Octagon given Inradius 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 = 8 \cdot (\sqrt{2} - 1) \cdot {r i}^{2}

A - Area of Octagon?r_i - Inradius of Octagon?

Area of Octagon given Inradius Example

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

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

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

477.174 = 8 \cdot (\sqrt{2} - 1) \cdot 12^{2}

477.174m² = 8 \cdot (\sqrt{2} - 1) \cdot {12m}^{2}

477.174 = 8 \cdot (\sqrt{2} - 1) \cdot 12^{2}

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Area of Octagon given Inradius Solution

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

FIRST Step Consider the formula

A = 8 \cdot (\sqrt{2} - 1) \cdot {r i}^{2}

Next Step Substitute values of Variables

∴

A = 8 \cdot (\sqrt{2} - 1) \cdot {12m}^{2}

Next Step Prepare to Evaluate

∴

A = 8 \cdot (\sqrt{2} - 1) \cdot 12^{2}

Next Step Evaluate

∴

A = 477.174023853806m²

LAST Step Rounding Answer

∴

A = 477.174m²

Area of Octagon given Inradius 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

Inradius of Octagon

The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Long Diagonal

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

How to Evaluate Area of Octagon given Inradius?

Area of Octagon given Inradius evaluator uses Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2 to evaluate the Area of Octagon, The Area of Octagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the inradius of the Octagon. Area of Octagon is denoted by A symbol.

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

FAQs on Area of Octagon given Inradius

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

The formula of Area of Octagon given Inradius is expressed as Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2. Here is an example- 477.174 = 8*(sqrt(2)-1)*12^2.

How to calculate Area of Octagon given Inradius?

With Inradius of Octagon (r_i) we can find Area of Octagon given Inradius using the formula - Area of Octagon = 8*(sqrt(2)-1)*Inradius 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=2*(1+sqrt(2))*Edge Length of Octagon^2

Can the Area of Octagon given Inradius be negative?

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

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

Area of Octagon given Inradius 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 Inradius can be measured.

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