Perimeter of Dodecagon given Inradius Calculator

✖Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.ⓘ Inradius of Dodecagon [r_i]

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✖Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.ⓘ Perimeter of Dodecagon given Inradius [P]

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Perimeter of Dodecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2)
P = 12*r_i/((2+sqrt(3))/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 Dodecagon - (Measured in Meter) - Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.
Inradius of Dodecagon - (Measured in Meter) - Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Dodecagon: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 12*r_i/((2+sqrt(3))/2) --> 12*19/((2+sqrt(3))/2)

Evaluating ... ...

P = 122.184831748592

STEP 3: Convert Result to Output's Unit

122.184831748592 Meter --> No Conversion Required

FINAL ANSWER

122.184831748592 ≈ 122.1848 Meter <-- Perimeter of Dodecagon

(Calculation completed in 00.006 seconds)

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< Perimeter of Dodecagon Calculators

Perimeter of Dodecagon given Diagonal across Four Sides

LaTeX Go Perimeter of Dodecagon = 12*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)

Perimeter of Dodecagon given Diagonal across Two Sides

LaTeX Go Perimeter of Dodecagon = 12*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)

Perimeter of Dodecagon given Diagonal across Three Sides

LaTeX Go Perimeter of Dodecagon = 12*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

Perimeter of Dodecagon given Diagonal across Five Sides

LaTeX Go Perimeter of Dodecagon = 12*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))

< Perimeter of Dodecagon Calculators

Perimeter of Dodecagon given Area

LaTeX Go Perimeter of Dodecagon = 12*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))

Perimeter of Dodecagon given Inradius

LaTeX Go Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2)

Perimeter of Dodecagon

LaTeX Go Perimeter of Dodecagon = 12*Side of Dodecagon

Perimeter of Dodecagon given Inradius Formula

LaTeX Go

Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2)
P = 12*r_i/((2+sqrt(3))/2)

What is Dodecagon?

A regular Dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Perimeter of Dodecagon given Inradius?

Perimeter of Dodecagon given Inradius calculator uses Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2) to calculate the Perimeter of Dodecagon, Perimeter of Dodecagon given Inradius formula is defined as the total length around the Dodecagon, calculated using inradius. Perimeter of Dodecagon is denoted by P symbol.

How to calculate Perimeter of Dodecagon given Inradius using this online calculator? To use this online calculator for Perimeter of Dodecagon given Inradius, enter Inradius of Dodecagon (r_i) and hit the calculate button. Here is how the Perimeter of Dodecagon given Inradius calculation can be explained with given input values -> 122.1848 = 12*19/((2+sqrt(3))/2).

FAQ

What is Perimeter of Dodecagon given Inradius?

Perimeter of Dodecagon given Inradius formula is defined as the total length around the Dodecagon, calculated using inradius and is represented as P = 12*r_i/((2+sqrt(3))/2) or Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2). Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

How to calculate Perimeter of Dodecagon given Inradius?

Perimeter of Dodecagon given Inradius formula is defined as the total length around the Dodecagon, calculated using inradius is calculated using Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2). To calculate Perimeter of Dodecagon given Inradius, you need Inradius of Dodecagon (r_i). With our tool, you need to enter the respective value for Inradius of Dodecagon 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 Dodecagon?

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

Perimeter of Dodecagon = 12*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Perimeter of Dodecagon = 12*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Perimeter of Dodecagon = 12*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)

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