Perimeter of Octagon given Inradius Calculator

✖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.ⓘ Inradius of Octagon [r_i]

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✖The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.ⓘ Perimeter of Octagon given Inradius [P]

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Perimeter of Octagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2))
P = (16*r_i)/(1+sqrt(2))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Perimeter of Octagon - (Measured in Meter) - The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.
Inradius of Octagon - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Inradius of Octagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (16*r_i)/(1+sqrt(2)) --> (16*12)/(1+sqrt(2))

Evaluating ... ...

P = 79.5290039756343

STEP 3: Convert Result to Output's Unit

79.5290039756343 Meter --> No Conversion Required

FINAL ANSWER

79.5290039756343 ≈ 79.529 Meter <-- Perimeter of Octagon

(Calculation completed in 00.007 seconds)

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St Joseph's College (SJC), Bengaluru

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< Perimeter of Octagon Calculators

Perimeter of Octagon given Long Diagonal

LaTeX Go Perimeter of Octagon = (8*Long Diagonal of Octagon)/sqrt(4+(2*sqrt(2)))

Perimeter of Octagon given Short Diagonal

LaTeX Go Perimeter of Octagon = (8*Short Diagonal of Octagon)/sqrt(2+sqrt(2))

Perimeter of Octagon given Medium Diagonal

LaTeX Go Perimeter of Octagon = (8*Medium Diagonal of Octagon)/(1+sqrt(2))

Perimeter of Octagon

LaTeX Go Perimeter of Octagon = 8*Edge Length of Octagon

< Perimeter of Octagon Calculators

Perimeter of Octagon given Circumradius

LaTeX Go Perimeter of Octagon = (16*Circumradius of Octagon)/sqrt(4+(2*sqrt(2)))

Perimeter of Octagon given Inradius

LaTeX Go Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2))

Perimeter of Octagon

LaTeX Go Perimeter of Octagon = 8*Edge Length of Octagon

Perimeter of Octagon given Inradius Formula

LaTeX Go

Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2))
P = (16*r_i)/(1+sqrt(2))

What is an Octagon?

Octagon is a polygon in geometry, which has 8 sides and 8 angles. That means the number of vertices is 8 and the number of edges is 8. All the sides are joined with each other end-to-end to form a shape. These sides are in a straight line form; they are not curved or disjoint with each other. Each interior angle of a regular octagon is 135° and each exterior angle will be 45°.

How to Calculate Perimeter of Octagon given Inradius?

Perimeter of Octagon given Inradius calculator uses Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2)) to calculate 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 calculate Perimeter of Octagon given Inradius using this online calculator? To use this online calculator for Perimeter of Octagon given Inradius, enter Inradius of Octagon (r_i) and hit the calculate button. Here is how the Perimeter of Octagon given Inradius calculation can be explained with given input values -> 79.529 = (16*12)/(1+sqrt(2)).

FAQ

What is Perimeter of Octagon given Inradius?

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 and is represented as P = (16*r_i)/(1+sqrt(2)) or Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2)). 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.

How to calculate Perimeter of Octagon given Inradius?

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 is calculated using Perimeter of Octagon = (16*Inradius of Octagon)/(1+sqrt(2)). To calculate Perimeter of Octagon given Inradius, you need Inradius of Octagon (r_i). With our tool, you need to enter the respective value for Inradius of Octagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Octagon?

In this formula, Perimeter of Octagon uses Inradius of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Octagon = 8*Edge Length of Octagon
Perimeter of Octagon = (8*Long Diagonal of Octagon)/sqrt(4+(2*sqrt(2)))
Perimeter of Octagon = (8*Medium Diagonal of Octagon)/(1+sqrt(2))

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