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Inradius of Octagon given Area Formula

GoInradius of Octagon Formula

GoInradius of Octagon given Circumradius Formula

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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. Check FAQs

r i = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot A}

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

Inradius of Octagon given Area Example

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

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

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

12.0355 = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot 480}

12.0355m = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot 480m²}

12.0355 = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot 480}

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Inradius of Octagon given Area Solution

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

FIRST Step Consider the formula

r i = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot A}

Next Step Substitute values of Variables

∴

r i = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot 480m²}

Next Step Prepare to Evaluate

∴

r i = \sqrt{(\frac{1 + \sqrt{2}}{8}) \cdot 480}

Next Step Evaluate

∴

r i = 12.0354814503777m

LAST Step Rounding Answer

∴

r i = 12.0355m

Inradius of Octagon given Area Formula Elements

Variables

Functions

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

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 Inradius of Octagon

Go Inradius of Octagon

r i = (\frac{1 + \sqrt{2}}{2}) \cdot l e

Go Inradius of Octagon given Circumradius

r i = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot r c

Go Inradius of Octagon given Long Diagonal

r i = (\frac{\sqrt{2 + \sqrt{2}}}{4}) \cdot d Long

Go Inradius of Octagon given Medium Diagonal

r i = \frac{d Medium}{2}

How to Evaluate Inradius of Octagon given Area?

Inradius of Octagon given Area evaluator uses Inradius of Octagon = sqrt(((1+sqrt(2))/8)*Area of Octagon) to evaluate the Inradius of Octagon, The Inradius of Octagon given Area formula is defined as the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle, and calculated using area of the Octagon. Inradius of Octagon is denoted by r_i symbol.

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

FAQs on Inradius of Octagon given Area

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

The formula of Inradius of Octagon given Area is expressed as Inradius of Octagon = sqrt(((1+sqrt(2))/8)*Area of Octagon). Here is an example- 12.03548 = sqrt(((1+sqrt(2))/8)*480).

How to calculate Inradius of Octagon given Area?

With Area of Octagon (A) we can find Inradius of Octagon given Area using the formula - Inradius of Octagon = sqrt(((1+sqrt(2))/8)*Area of Octagon). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Inradius of Octagon?

Here are the different ways to Calculate Inradius of Octagon-

Inradius of Octagon=((1+sqrt(2))/2)*Edge Length of Octagon
Inradius of Octagon=(sqrt(2+sqrt(2))/2)*Circumradius of Octagon
Inradius of Octagon=((sqrt(2+sqrt(2)))/4)*Long Diagonal of Octagon

Can the Inradius of Octagon given Area be negative?

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

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

Inradius 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 Inradius of Octagon given Area can be measured.

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