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Circumradius of Dodecagon given diagonal across four sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2)))
r = ((sqrt(6)+sqrt(2))/2)*(d4/(((3*sqrt(2)+sqrt(6))/2)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across four sides - Diagonal across four sides is a straight line joining two opposite sides which is across four sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across four sides: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((sqrt(6)+sqrt(2))/2)*(d4/(((3*sqrt(2)+sqrt(6))/2))) --> ((sqrt(6)+sqrt(2))/2)*(9/(((3*sqrt(2)+sqrt(6))/2)))
Evaluating ... ...
r = 5.19615242270663
STEP 3: Convert Result to Output's Unit
5.19615242270663 Meter --> No Conversion Required
FINAL ANSWER
5.19615242270663 Meter <-- Radius
(Calculation completed in 00.000 seconds)

6 Circumradius of Dodecagon Calculators

Circumradius of Dodecagon given diagonal across four sides
radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2))) Go
Circumradius of Dodecagon given diagonal across three sides
radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across three sides/(sqrt(3)+1)) Go
Circumradius of Dodecagon given diagonal across five sides
radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across five sides/(2+sqrt(3))) Go
Circumradius of Dodecagon given side
radius = ((sqrt(6)+sqrt(2))/2)*Side A Go
Circumradius of Dodecagon given diagonal across six sides
radius = Diagonal across six sides/2 Go
Circumradius of Dodecagon given diagonal across two sides
radius = Diagonal across two sides Go

Circumradius of Dodecagon given diagonal across four sides Formula

radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2)))
r = ((sqrt(6)+sqrt(2))/2)*(d4/(((3*sqrt(2)+sqrt(6))/2)))

What are properties of dodecagon?

All the 12 sides of a regular dodecagon are of equal length. The vertices are equidistant from the center. A regular dodecagon is a 12-sided polygon that is symmetrical. It has 12 interior angles.

How to Calculate Circumradius of Dodecagon given diagonal across four sides?

Circumradius of Dodecagon given diagonal across four sides calculator uses radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2))) to calculate the Radius, The Circumradius of dodecagon given diagonal across four sides formula is defined as a straight line connecting circumcenter and any point on a circle that touches all vertices of dodecagon. Radius and is denoted by r symbol.

How to calculate Circumradius of Dodecagon given diagonal across four sides using this online calculator? To use this online calculator for Circumradius of Dodecagon given diagonal across four sides, enter Diagonal across four sides (d4) and hit the calculate button. Here is how the Circumradius of Dodecagon given diagonal across four sides calculation can be explained with given input values -> 519.6152 = ((sqrt(6)+sqrt(2))/2)*(9/(((3*sqrt(2)+sqrt(6))/2))).

FAQ

What is Circumradius of Dodecagon given diagonal across four sides?
The Circumradius of dodecagon given diagonal across four sides formula is defined as a straight line connecting circumcenter and any point on a circle that touches all vertices of dodecagon and is represented as r = ((sqrt(6)+sqrt(2))/2)*(d4/(((3*sqrt(2)+sqrt(6))/2))) or radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2))). Diagonal across four sides is a straight line joining two opposite sides which is across four sides of the given polygon.
How to calculate Circumradius of Dodecagon given diagonal across four sides?
The Circumradius of dodecagon given diagonal across four sides formula is defined as a straight line connecting circumcenter and any point on a circle that touches all vertices of dodecagon is calculated using radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2))). To calculate Circumradius of Dodecagon given diagonal across four sides, you need Diagonal across four sides (d4). With our tool, you need to enter the respective value for Diagonal across four sides 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 Radius?
In this formula, Radius uses Diagonal across four sides. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • radius = ((sqrt(6)+sqrt(2))/2)*Side A
  • radius = Diagonal across six sides/2
  • radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across five sides/(2+sqrt(3)))
  • radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across four sides/(((3*sqrt(2)+sqrt(6))/2)))
  • radius = ((sqrt(6)+sqrt(2))/2)*(Diagonal across three sides/(sqrt(3)+1))
  • radius = Diagonal across two sides
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