Inradius of Dodecagon given Perimeter Calculator

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

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

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Inradius of Dodecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon
r_i = (2+sqrt(3))/24*P
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 Dodecagon - (Measured in Meter) - Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.
Perimeter of Dodecagon - (Measured in Meter) - Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Dodecagon: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (2+sqrt(3))/24*P --> (2+sqrt(3))/24*120

Evaluating ... ...

r_i = 18.6602540378444

STEP 3: Convert Result to Output's Unit

18.6602540378444 Meter --> No Conversion Required

FINAL ANSWER

18.6602540378444 ≈ 18.66025 Meter <-- Inradius of Dodecagon

(Calculation completed in 00.008 seconds)

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< Inradius of Dodecagon Calculators

Inradius of Dodecagon given Diagonal across Four Sides

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

Inradius of Dodecagon given Diagonal across Two Sides

LaTeX Go Inradius of Dodecagon = (2+sqrt(3))/2*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)

Inradius of Dodecagon given Diagonal across Six Sides

LaTeX Go Inradius of Dodecagon = (2+sqrt(3))/2*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

Inradius of Dodecagon given Diagonal across Three Sides

LaTeX Go Inradius of Dodecagon = (2+sqrt(3))/2*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

< Radius of Dodecagon Calculators

Circumradius of Dodecagon

LaTeX Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon

Inradius of Dodecagon

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

Circumradius of Dodecagon given Diagonal across Two Sides

LaTeX Go Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1

Inradius of Dodecagon given Height

LaTeX Go Inradius of Dodecagon = Height of Dodecagon/2

Inradius of Dodecagon given Perimeter Formula

LaTeX Go

Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon
r_i = (2+sqrt(3))/24*P

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 Inradius of Dodecagon given Perimeter?

Inradius of Dodecagon given Perimeter calculator uses Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon to calculate the Inradius of Dodecagon, The Inradius of Dodecagon given Perimeter formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, and calculated using the perimeter of the Dodecagon. Inradius of Dodecagon is denoted by r_i symbol.

How to calculate Inradius of Dodecagon given Perimeter using this online calculator? To use this online calculator for Inradius of Dodecagon given Perimeter, enter Perimeter of Dodecagon (P) and hit the calculate button. Here is how the Inradius of Dodecagon given Perimeter calculation can be explained with given input values -> 18.66025 = (2+sqrt(3))/24*120.

FAQ

What is Inradius of Dodecagon given Perimeter?

The Inradius of Dodecagon given Perimeter formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, and calculated using the perimeter of the Dodecagon and is represented as r_i = (2+sqrt(3))/24*P or Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon. Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

How to calculate Inradius of Dodecagon given Perimeter?

The Inradius of Dodecagon given Perimeter formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, and calculated using the perimeter of the Dodecagon is calculated using Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon. To calculate Inradius of Dodecagon given Perimeter, you need Perimeter of Dodecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Inradius of Dodecagon?

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

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

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