Circumradius of Dodecagon given Diagonal across Two Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1
rc = d2/1
This formula uses 2 Variables
Variables Used
Circumradius of Dodecagon - (Measured in Meter) - Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.
Diagonal Across Two Sides of Dodecagon - (Measured in Meter) - Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal Across Two Sides of Dodecagon: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = d2/1 --> 20/1
Evaluating ... ...
rc = 20
STEP 3: Convert Result to Output's Unit
20 Meter --> No Conversion Required
FINAL ANSWER
20 Meter <-- Circumradius of Dodecagon
(Calculation completed in 00.020 seconds)

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Circumradius of Dodecagon Calculators

Circumradius of Dodecagon given Diagonal across Four Sides
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Circumradius of Dodecagon given Diagonal across Five Sides
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Circumradius of Dodecagon
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon
Circumradius of Dodecagon given Diagonal across Six Sides
​ LaTeX ​ Go Circumradius of Dodecagon = Diagonal Across Six Sides of Dodecagon/2

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

Circumradius of Dodecagon given Diagonal across Two Sides Formula

​LaTeX ​Go
Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1
rc = d2/1

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 Circumradius of Dodecagon given Diagonal across Two Sides?

Circumradius of Dodecagon given Diagonal across Two Sides calculator uses Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1 to calculate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Diagonal across Two Sides formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using diagonal across two sides. Circumradius of Dodecagon is denoted by rc symbol.

How to calculate Circumradius of Dodecagon given Diagonal across Two Sides using this online calculator? To use this online calculator for Circumradius of Dodecagon given Diagonal across Two Sides, enter Diagonal Across Two Sides of Dodecagon (d2) and hit the calculate button. Here is how the Circumradius of Dodecagon given Diagonal across Two Sides calculation can be explained with given input values -> 20 = 20/1.

FAQ

What is Circumradius of Dodecagon given Diagonal across Two Sides?
The Circumradius of Dodecagon given Diagonal across Two Sides formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using diagonal across two sides and is represented as rc = d2/1 or Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1. Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.
How to calculate Circumradius of Dodecagon given Diagonal across Two Sides?
The Circumradius of Dodecagon given Diagonal across Two Sides formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using diagonal across two sides is calculated using Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1. To calculate Circumradius of Dodecagon given Diagonal across Two Sides, you need Diagonal Across Two Sides of Dodecagon (d2). With our tool, you need to enter the respective value for Diagonal Across Two Sides 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 Circumradius of Dodecagon?
In this formula, Circumradius of Dodecagon uses Diagonal Across Two Sides of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon
  • Circumradius of Dodecagon = Diagonal Across Six Sides of Dodecagon/2
  • Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
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