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Perimeter of Octagon given Inradius Formula

GoPerimeter of Octagon Formula

GoPerimeter of Octagon given Circumradius Formula

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The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon. Check FAQs

P = \frac{16 \cdot r i}{1 + \sqrt{2}}

P - Perimeter of Octagon?r_i - Inradius of Octagon?

Perimeter of Octagon given Inradius Example

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

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

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

79.529 = \frac{16 \cdot 12}{1 + \sqrt{2}}

79.529m = \frac{16 \cdot 12m}{1 + \sqrt{2}}

79.529 = \frac{16 \cdot 12}{1 + \sqrt{2}}

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Perimeter of Octagon given Inradius Solution

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

FIRST Step Consider the formula

P = \frac{16 \cdot r i}{1 + \sqrt{2}}

Next Step Substitute values of Variables

∴

P = \frac{16 \cdot 12m}{1 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

P = \frac{16 \cdot 12}{1 + \sqrt{2}}

Next Step Evaluate

∴

P = 79.5290039756343m

LAST Step Rounding Answer

∴

P = 79.529m

Perimeter of Octagon given Inradius Formula Elements

Variables

Functions

Perimeter of Octagon

The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter of Octagon

Go Perimeter of Octagon

P = 8 \cdot l e

Go Perimeter of Octagon given Circumradius

P = \frac{16 \cdot r c}{\sqrt{4 + (2 \cdot \sqrt{2})}}

How to Evaluate Perimeter of Octagon given Inradius?

Perimeter of Octagon given Inradius evaluator uses Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2)) to evaluate the Perimeter of Octagon, The Perimeter of Octagon given Inradius formula is defined as the total length of all the boundary lines of the Regular Octagon, and calculated using inradius of the Octagon. Perimeter of Octagon is denoted by P symbol.

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

FAQs on Perimeter of Octagon given Inradius

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

The formula of Perimeter of Octagon given Inradius is expressed as Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2)). Here is an example- 79.529 = (16*12)/(1+sqrt(2)).

How to calculate Perimeter of Octagon given Inradius?

With Inradius of Octagon (r_i) we can find Perimeter of Octagon given Inradius using the formula - Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Octagon?

Here are the different ways to Calculate Perimeter of Octagon-

Perimeter of Octagon=8*Edge Length of Octagon
Perimeter of Octagon=(16*Circumradius of Octagon)/sqrt(4+(2*sqrt(2)))

Can the Perimeter of Octagon given Inradius be negative?

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

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

Perimeter of Octagon given Inradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Octagon given Inradius can be measured.

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