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Inradius of Octagon given Perimeter 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 = (1 + \sqrt{2}) \cdot \frac{P}{16}

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

Inradius of Octagon given Perimeter Example

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

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

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

12.0711 = (1 + \sqrt{2}) \cdot \frac{80}{16}

12.0711m = (1 + \sqrt{2}) \cdot \frac{80m}{16}

12.0711 = (1 + \sqrt{2}) \cdot \frac{80}{16}

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Inradius of Octagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = (1 + \sqrt{2}) \cdot \frac{80m}{16}

Next Step Prepare to Evaluate

∴

r i = (1 + \sqrt{2}) \cdot \frac{80}{16}

Next Step Evaluate

∴

r i = 12.0710678118655m

LAST Step Rounding Answer

∴

r i = 12.0711m

Inradius of Octagon given Perimeter 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

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

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 Perimeter?

Inradius of Octagon given Perimeter evaluator uses Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16 to evaluate the Inradius of Octagon, The Inradius of Octagon given Perimeter 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 perimeter of the Octagon. Inradius of Octagon is denoted by r_i symbol.

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

FAQs on Inradius of Octagon given Perimeter

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

The formula of Inradius of Octagon given Perimeter is expressed as Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16. Here is an example- 12.07107 = (1+sqrt(2))*80/16.

How to calculate Inradius of Octagon given Perimeter?

With Perimeter of Octagon (P) we can find Inradius of Octagon given Perimeter using the formula - Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16. 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 Perimeter be negative?

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

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

Inradius of Octagon given Perimeter 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 Perimeter can be measured.

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