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

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Side of Dodecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Side of Dodecagon - (Measured in Meter) - Side of Dodecagon is the length of the straight line joining two adjacent vertices 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

S = r_i/((2+sqrt(3))/2) --> 19/((2+sqrt(3))/2)

Evaluating ... ...

S = 10.1820693123827

STEP 3: Convert Result to Output's Unit

10.1820693123827 Meter --> No Conversion Required

FINAL ANSWER

10.1820693123827 ≈ 10.18207 Meter <-- Side of Dodecagon

(Calculation completed in 00.020 seconds)

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< Side of Dodecagon Calculators

Side of Dodecagon given Diagonal across Four Sides

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

Side of Dodecagon given Diagonal across Two Sides

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

Side of Dodecagon given Diagonal across Three Sides

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

Side of Dodecagon given Diagonal across Five Sides

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

Side of Dodecagon given Inradius Formula

LaTeX Go

Side of Dodecagon = Inradius of Dodecagon/((2+sqrt(3))/2)
S = 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 Side of Dodecagon given Inradius?

Side of Dodecagon given Inradius calculator uses Side of Dodecagon = Inradius of Dodecagon/((2+sqrt(3))/2) to calculate the Side of Dodecagon, Side of Dodecagon given Inradius formula is defined the straight line joining two adjacent vertices of the Dodecagon, calculated using inradius. Side of Dodecagon is denoted by S symbol.

How to calculate Side of Dodecagon given Inradius using this online calculator? To use this online calculator for Side of Dodecagon given Inradius, enter Inradius of Dodecagon (r_i) and hit the calculate button. Here is how the Side of Dodecagon given Inradius calculation can be explained with given input values -> 10.18207 = 19/((2+sqrt(3))/2).

FAQ

What is Side of Dodecagon given Inradius?

Side of Dodecagon given Inradius formula is defined the straight line joining two adjacent vertices of the Dodecagon, calculated using inradius and is represented as S = r_i/((2+sqrt(3))/2) or Side of Dodecagon = 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 Side of Dodecagon given Inradius?

Side of Dodecagon given Inradius formula is defined the straight line joining two adjacent vertices of the Dodecagon, calculated using inradius is calculated using Side of Dodecagon = Inradius of Dodecagon/((2+sqrt(3))/2). To calculate Side 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 Side of Dodecagon?

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

Side of Dodecagon = Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Side of Dodecagon = Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Side of Dodecagon = Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

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