Diagonal of Dodecagon across Three Sides Calculator

✖Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.ⓘ Side of Dodecagon [S]

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✖Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.ⓘ Diagonal of Dodecagon across Three Sides [d₃]

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Diagonal of Dodecagon across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Side of Dodecagon
d₃ = (sqrt(3)+1)*S
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

Diagonal Across Three Sides of Dodecagon - (Measured in Meter) - Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.
Side of Dodecagon - (Measured in Meter) - Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Side of Dodecagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₃ = (sqrt(3)+1)*S --> (sqrt(3)+1)*10

Evaluating ... ...

d₃ = 27.3205080756888

STEP 3: Convert Result to Output's Unit

27.3205080756888 Meter --> No Conversion Required

FINAL ANSWER

27.3205080756888 ≈ 27.32051 Meter <-- Diagonal Across Three Sides of Dodecagon

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Diagonal of Dodecagon across Three Sides Calculators

Diagonal of Dodecagon across Three Sides given Area

LaTeX Go Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))

Diagonal of Dodecagon across Three Sides given Inradius

LaTeX Go Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Inradius of Dodecagon/((2+sqrt(3))/2)

Diagonal of Dodecagon across Three Sides given Circumradius

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

Diagonal of Dodecagon across Three Sides

LaTeX Go Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Side of Dodecagon

< Diagonal of Dodecagon Calculators

Diagonal of Dodecagon across Four Sides

LaTeX Go Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Side of Dodecagon

Diagonal of Dodecagon across Five Sides

LaTeX Go Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Side of Dodecagon

Diagonal of Dodecagon across Five Sides given Height

LaTeX Go Diagonal Across Five Sides of Dodecagon = Height of Dodecagon/1

Diagonal of Dodecagon across Five Sides given Width

LaTeX Go Diagonal Across Five Sides of Dodecagon = Width of Dodecagon/1

Diagonal of Dodecagon across Three Sides Formula

LaTeX Go

Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Side of Dodecagon
d₃ = (sqrt(3)+1)*S

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 Diagonal of Dodecagon across Three Sides?

Diagonal of Dodecagon across Three Sides calculator uses Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Side of Dodecagon to calculate the Diagonal Across Three Sides of Dodecagon, The Diagonal of Dodecagon across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Dodecagon. Diagonal Across Three Sides of Dodecagon is denoted by d₃ symbol.

How to calculate Diagonal of Dodecagon across Three Sides using this online calculator? To use this online calculator for Diagonal of Dodecagon across Three Sides, enter Side of Dodecagon (S) and hit the calculate button. Here is how the Diagonal of Dodecagon across Three Sides calculation can be explained with given input values -> 27.32051 = (sqrt(3)+1)*10.

FAQ

What is Diagonal of Dodecagon across Three Sides?

The Diagonal of Dodecagon across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Dodecagon and is represented as d₃ = (sqrt(3)+1)*S or Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Side of Dodecagon. Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

How to calculate Diagonal of Dodecagon across Three Sides?

The Diagonal of Dodecagon across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Dodecagon is calculated using Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Side of Dodecagon. To calculate Diagonal of Dodecagon across Three Sides, you need Side of Dodecagon (S). With our tool, you need to enter the respective value for Side 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 Diagonal Across Three Sides of Dodecagon?

In this formula, Diagonal Across Three Sides of Dodecagon uses Side of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal Across Three Sides of Dodecagon = sqrt(2)*Circumradius of Dodecagon
Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Inradius of Dodecagon/((2+sqrt(3))/2)

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