Inradius of Dodecagon Calculator

✖Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.ⓘ Side of Dodecagon [S]

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✖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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Inradius of Dodecagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon
r_i = (2+sqrt(3))/2*S
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.
Side of Dodecagon - (Measured in Meter) - Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Side of Dodecagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (2+sqrt(3))/2*S --> (2+sqrt(3))/2*10

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 00.007 seconds)

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Created by Shweta Patil

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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 Formula

LaTeX Go

Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon
r_i = (2+sqrt(3))/2*S

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?

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

How to calculate Inradius of Dodecagon using this online calculator? To use this online calculator for Inradius of Dodecagon, enter Side of Dodecagon (S) and hit the calculate button. Here is how the Inradius of Dodecagon calculation can be explained with given input values -> 18.66025 = (2+sqrt(3))/2*10.

FAQ

What is Inradius of Dodecagon?

The Inradius of Dodecagon formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon and is represented as r_i = (2+sqrt(3))/2*S or Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon. Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

How to calculate Inradius of Dodecagon?

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