Circumradius of Dodecagon given Diagonal across Two Sides Calculator

✖Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.ⓘ Diagonal Across Two Sides of Dodecagon [d₂]

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✖Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.ⓘ Circumradius of Dodecagon given Diagonal across Two Sides [r_c]

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Formula

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Circumradius of Dodecagon given Diagonal across Two Sides

Formula

`"r"_{"c"} = "d"_{"2"}/1`

Example

`"20m"="20m"/1`

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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
r_c = 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

r_c = d₂/1 --> 20/1

Evaluating ... ...

r_c = 20

STEP 3: Convert Result to Output's Unit

20 Meter --> No Conversion Required

FINAL ANSWER

20 Meter <-- Circumradius of Dodecagon

(Calculation completed in 00.004 seconds)

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< 11 Circumradius of Dodecagon Calculators

Circumradius of Dodecagon given Diagonal across Four Sides

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 Area

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))

Circumradius of Dodecagon given Diagonal across Five Sides

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))

Circumradius of Dodecagon given Inradius

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Inradius of Dodecagon/((2+sqrt(3))/2)

Circumradius of Dodecagon given Height

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Height of Dodecagon/(2+sqrt(3))

Circumradius of Dodecagon given Width

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))

Circumradius of Dodecagon given Perimeter

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon

Circumradius of Dodecagon

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

Circumradius of Dodecagon given Diagonal across Three Sides

Go Circumradius of Dodecagon = Diagonal Across Three Sides of Dodecagon/sqrt(2)

Circumradius of Dodecagon given Diagonal across Six Sides

Go Circumradius of Dodecagon = Diagonal Across Six Sides of Dodecagon/2

Circumradius of Dodecagon given Diagonal across Two Sides

Go Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1

< 8 Radius of Dodecagon Calculators

Circumradius of Dodecagon given Width

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))

Circumradius of Dodecagon given Perimeter

Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon

Circumradius of Dodecagon

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

Inradius of Dodecagon given Perimeter

Go Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon

Inradius of Dodecagon

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

Circumradius of Dodecagon given Diagonal across Two Sides

Go Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1

Inradius of Dodecagon given Height

Go Inradius of Dodecagon = Height of Dodecagon/2

Inradius of Dodecagon given Width

Go Inradius of Dodecagon = Width of Dodecagon/2

Circumradius of Dodecagon given Diagonal across Two Sides Formula

Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1
r_c = 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 r_c 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 r_c = 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 13 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))
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Circumradius of Dodecagon = Diagonal Across Three Sides of Dodecagon/sqrt(2)
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Height of Dodecagon/(2+sqrt(3))
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Inradius of Dodecagon/((2+sqrt(3))/2)
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))

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