Perimeter of Dodecagon given Circumradius Calculator

✖Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.ⓘ Circumradius of Dodecagon [r_c]

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

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Perimeter of Dodecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
P = 12*r_c/((sqrt(6)+sqrt(2))/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.
Circumradius of Dodecagon - (Measured in Meter) - Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Dodecagon: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 12*r_c/((sqrt(6)+sqrt(2))/2) --> 12*20/((sqrt(6)+sqrt(2))/2)

Evaluating ... ...

P = 124.23314164921

STEP 3: Convert Result to Output's Unit

124.23314164921 Meter --> No Conversion Required

FINAL ANSWER

124.23314164921 ≈ 124.2331 Meter <-- Perimeter of Dodecagon

(Calculation completed in 00.004 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 given Circumradius Formula

LaTeX Go

Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
P = 12*r_c/((sqrt(6)+sqrt(2))/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 Circumradius?

Perimeter of Dodecagon given Circumradius calculator uses Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to calculate the Perimeter of Dodecagon, Perimeter of Dodecagon given Circumradius formula is defined as the total length around the Dodecagon, calculated using circumradius. Perimeter of Dodecagon is denoted by P symbol.

How to calculate Perimeter of Dodecagon given Circumradius using this online calculator? To use this online calculator for Perimeter of Dodecagon given Circumradius, enter Circumradius of Dodecagon (r_c) and hit the calculate button. Here is how the Perimeter of Dodecagon given Circumradius calculation can be explained with given input values -> 124.2331 = 12*20/((sqrt(6)+sqrt(2))/2).

FAQ

What is Perimeter of Dodecagon given Circumradius?

Perimeter of Dodecagon given Circumradius formula is defined as the total length around the Dodecagon, calculated using circumradius and is represented as P = 12*r_c/((sqrt(6)+sqrt(2))/2) or Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

How to calculate Perimeter of Dodecagon given Circumradius?

Perimeter of Dodecagon given Circumradius formula is defined as the total length around the Dodecagon, calculated using circumradius is calculated using Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). To calculate Perimeter of Dodecagon given Circumradius, you need Circumradius of Dodecagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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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