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Circumradius of Dodecagon given side Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = ((sqrt(6)+sqrt(2))/2)*Side A
r = ((sqrt(6)+sqrt(2))/2)*Sa
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((sqrt(6)+sqrt(2))/2)*Sa --> ((sqrt(6)+sqrt(2))/2)*8
Evaluating ... ...
r = 15.4548132206251
STEP 3: Convert Result to Output's Unit
15.4548132206251 Meter --> No Conversion Required
FINAL ANSWER
15.4548132206251 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 side Formula

radius = ((sqrt(6)+sqrt(2))/2)*Side A
r = ((sqrt(6)+sqrt(2))/2)*Sa

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 side?

Circumradius of Dodecagon given side calculator uses radius = ((sqrt(6)+sqrt(2))/2)*Side A to calculate the Radius, The Circumradius of dodecagon given side 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 side using this online calculator? To use this online calculator for Circumradius of Dodecagon given side, enter Side A (Sa) and hit the calculate button. Here is how the Circumradius of Dodecagon given side calculation can be explained with given input values -> 1545.481 = ((sqrt(6)+sqrt(2))/2)*8.

FAQ

What is Circumradius of Dodecagon given side?
The Circumradius of dodecagon given side 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)*Sa or radius = ((sqrt(6)+sqrt(2))/2)*Side A. Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Circumradius of Dodecagon given side?
The Circumradius of dodecagon given side 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)*Side A. To calculate Circumradius of Dodecagon given side, you need Side A (Sa). With our tool, you need to enter the respective value for Side A 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 Side A. 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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