Inradius of Dodecagon given Width Calculator

✖The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.ⓘ Width of Dodecagon [w]

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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 Width [r_i]

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Inradius of Dodecagon given Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Dodecagon = Width of Dodecagon/2
r_i = w/2
This formula uses 2 Variables

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.
Width of Dodecagon - (Measured in Meter) - The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Width of Dodecagon: 37 Meter --> 37 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = w/2 --> 37/2

Evaluating ... ...

r_i = 18.5

STEP 3: Convert Result to Output's Unit

18.5 Meter --> No Conversion Required

FINAL ANSWER

18.5 Meter <-- Inradius of Dodecagon

(Calculation completed in 00.020 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 Width Formula

LaTeX Go

Inradius of Dodecagon = Width of Dodecagon/2
r_i = w/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 Inradius of Dodecagon given Width?

Inradius of Dodecagon given Width calculator uses Inradius of Dodecagon = Width of Dodecagon/2 to calculate the Inradius of Dodecagon, The Inradius of Dodecagon given Width formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, calculated using width. Inradius of Dodecagon is denoted by r_i symbol.

How to calculate Inradius of Dodecagon given Width using this online calculator? To use this online calculator for Inradius of Dodecagon given Width, enter Width of Dodecagon (w) and hit the calculate button. Here is how the Inradius of Dodecagon given Width calculation can be explained with given input values -> 18.5 = 37/2.

FAQ

What is Inradius of Dodecagon given Width?

The Inradius of Dodecagon given Width formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, calculated using width and is represented as r_i = w/2 or Inradius of Dodecagon = Width of Dodecagon/2. The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.

How to calculate Inradius of Dodecagon given Width?

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