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Inradius of Octagon Formula

GoInradius of Octagon given Height Formula

GoInradius of Octagon given Width 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 = (\frac{1 + \sqrt{2}}{2}) \cdot l e

r_i - Inradius of Octagon?l_e - Edge Length of Octagon?

Inradius of Octagon Example

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

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

Here is how the Inradius of Octagon equation looks like.

12.0711 = (\frac{1 + \sqrt{2}}{2}) \cdot 10

12.0711m = (\frac{1 + \sqrt{2}}{2}) \cdot 10m

12.0711 = (\frac{1 + \sqrt{2}}{2}) \cdot 10

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Inradius of Octagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = (\frac{1 + \sqrt{2}}{2}) \cdot 10m

Next Step Prepare to Evaluate

∴

r i = (\frac{1 + \sqrt{2}}{2}) \cdot 10

Next Step Evaluate

∴

r i = 12.0710678118655m

LAST Step Rounding Answer

∴

r i = 12.0711m

Inradius of Octagon 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

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 Inradius of Octagon

Go Inradius of Octagon given Height

r i = \frac{h}{2}

Go Inradius of Octagon given Width

r i = \frac{w}{2}

Other formulas in Inradius of Octagon category

Go Circumradius of Octagon

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

Go Circumradius of Octagon given Height

r c = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot h

How to Evaluate Inradius of Octagon?

Inradius of Octagon evaluator uses Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon to evaluate the Inradius of Octagon, The Inradius of Octagon 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. Inradius of Octagon is denoted by r_i symbol.

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

FAQs on Inradius of Octagon

What is the formula to find Inradius of Octagon?

The formula of Inradius of Octagon is expressed as Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon. Here is an example- 12.07107 = ((1+sqrt(2))/2)*10.

How to calculate Inradius of Octagon?

With Edge Length of Octagon (l_e) we can find Inradius of Octagon using the formula - Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length 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=Height of Octagon/2
Inradius of Octagon=Width of Octagon/2

Can the Inradius of Octagon be negative?

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

Which unit is used to measure Inradius of Octagon?

Inradius of Octagon 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 can be measured.

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