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

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Side of Dodecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
S = 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

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

S = r_c/((sqrt(6)+sqrt(2))/2) --> 20/((sqrt(6)+sqrt(2))/2)

Evaluating ... ...

S = 10.3527618041008

STEP 3: Convert Result to Output's Unit

10.3527618041008 Meter --> No Conversion Required

FINAL ANSWER

10.3527618041008 ≈ 10.35276 Meter <-- Side of Dodecagon

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vellore Institute of Technology (VIT), Bhopal

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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 Calculators

Side of Dodecagon given Circumradius

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

Side of Dodecagon given Area

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

Side of Dodecagon given Height

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

Side of Dodecagon given Perimeter

LaTeX Go Side of Dodecagon = Perimeter of Dodecagon/12

Side of Dodecagon given Circumradius Formula

LaTeX Go

Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
S = 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 Side of Dodecagon given Circumradius?

Side of Dodecagon given Circumradius calculator uses Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to calculate the Side of Dodecagon, Side of Dodecagon given Circumradius formula is defined the straight line joining two adjacent vertices of the Dodecagon and calculated using the circumradius of the Dodecagon. Side of Dodecagon is denoted by S symbol.

How to calculate Side of Dodecagon given Circumradius using this online calculator? To use this online calculator for Side of Dodecagon given Circumradius, enter Circumradius of Dodecagon (r_c) and hit the calculate button. Here is how the Side of Dodecagon given Circumradius calculation can be explained with given input values -> 10.35276 = 20/((sqrt(6)+sqrt(2))/2).

FAQ

What is Side of Dodecagon given Circumradius?

Side of Dodecagon given Circumradius formula is defined the straight line joining two adjacent vertices of the Dodecagon and calculated using the circumradius of the Dodecagon and is represented as S = r_c/((sqrt(6)+sqrt(2))/2) or Side of Dodecagon = 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 Side of Dodecagon given Circumradius?

Side of Dodecagon given Circumradius formula is defined the straight line joining two adjacent vertices of the Dodecagon and calculated using the circumradius of the Dodecagon is calculated using Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). To calculate Side 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 Side of Dodecagon?

In this formula, Side of Dodecagon uses Circumradius 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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