Circumradius of Dodecagon given Perimeter Calculator

✖Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.ⓘ Circumradius of Dodecagon given Perimeter [r_c]

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Formula

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Circumradius of Dodecagon given Perimeter

Formula

`"r"_{"c"} = (sqrt(6)+sqrt(2))/24*"P"`

Example

`"19.31852m"=(sqrt(6)+sqrt(2))/24*"120m"`

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Circumradius of Dodecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Circumradius of Dodecagon - (Measured in Meter) - Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.
Perimeter of Dodecagon - (Measured in Meter) - Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Dodecagon: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (sqrt(6)+sqrt(2))/24*P --> (sqrt(6)+sqrt(2))/24*120

Evaluating ... ...

r_c = 19.3185165257814

STEP 3: Convert Result to Output's Unit

19.3185165257814 Meter --> No Conversion Required

FINAL ANSWER

19.3185165257814 ≈ 19.31852 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 Perimeter Formula

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

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 Perimeter?

Circumradius of Dodecagon given Perimeter calculator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon to calculate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, and calculated using the perimeter of the Dodecagon. Circumradius of Dodecagon is denoted by r_c symbol.

How to calculate Circumradius of Dodecagon given Perimeter using this online calculator? To use this online calculator for Circumradius of Dodecagon given Perimeter, enter Perimeter of Dodecagon (P) and hit the calculate button. Here is how the Circumradius of Dodecagon given Perimeter calculation can be explained with given input values -> 19.31852 = (sqrt(6)+sqrt(2))/24*120.

FAQ

What is Circumradius of Dodecagon given Perimeter?

The Circumradius of Dodecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, and calculated using the perimeter of the Dodecagon and is represented as r_c = (sqrt(6)+sqrt(2))/24*P or Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon. Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

How to calculate Circumradius of Dodecagon given Perimeter?

The Circumradius of Dodecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, and calculated using the perimeter of the Dodecagon is calculated using Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon. To calculate Circumradius of Dodecagon given Perimeter, you need Perimeter of Dodecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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))/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 = Diagonal Across Two Sides of Dodecagon/1
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 = Diagonal Across Two Sides of Dodecagon/1
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))

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