Inradius of Octagon given Perimeter Calculator

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

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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.ⓘ Inradius of Octagon given Perimeter [r_i]

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Inradius of Octagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Perimeter of Octagon: 80 Meter --> 80 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (1+sqrt(2))*P/16 --> (1+sqrt(2))*80/16

Evaluating ... ...

r_i = 12.0710678118655

STEP 3: Convert Result to Output's Unit

12.0710678118655 Meter --> No Conversion Required

FINAL ANSWER

12.0710678118655 ≈ 12.07107 Meter <-- Inradius of Octagon

(Calculation completed in 00.006 seconds)

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St Joseph's College (SJC), Bengaluru

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< Inradius of Octagon Calculators

Inradius of Octagon given Long Diagonal

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

Inradius of Octagon given Circumradius

LaTeX Go Inradius of Octagon = (sqrt(2+sqrt(2))/2)*Circumradius of Octagon

Inradius of Octagon

LaTeX Go Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon

Inradius of Octagon given Medium Diagonal

LaTeX Go Inradius of Octagon = Medium Diagonal of Octagon/2

Inradius of Octagon given Perimeter Formula

LaTeX Go

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

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 Inradius of Octagon given Perimeter?

Inradius of Octagon given Perimeter calculator uses Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16 to calculate 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 calculate Inradius of Octagon given Perimeter using this online calculator? To use this online calculator for Inradius of Octagon given Perimeter, enter Perimeter of Octagon (P) and hit the calculate button. Here is how the Inradius of Octagon given Perimeter calculation can be explained with given input values -> 12.07107 = (1+sqrt(2))*80/16.

FAQ

What is Inradius of Octagon given Perimeter?

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 and is represented as r_i = (1+sqrt(2))*P/16 or Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16. The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

How to calculate Inradius of Octagon given Perimeter?

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 is calculated using Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16. To calculate Inradius of Octagon given Perimeter, you need Perimeter of Octagon (P). With our tool, you need to enter the respective value for Perimeter 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 Inradius of Octagon?

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

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

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