Diagonal of Dodecagon across Four Sides given Inradius Calculator

✖Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.ⓘ Inradius of Dodecagon [r_i]

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✖Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.ⓘ Diagonal of Dodecagon across Four Sides given Inradius [d₄]

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Diagonal of Dodecagon across Four Sides given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2)
d₄ = ((3*sqrt(2))+sqrt(6))/2*r_i/((2+sqrt(3))/2)
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 Four Sides of Dodecagon - (Measured in Meter) - Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.
Inradius of Dodecagon - (Measured in Meter) - Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Dodecagon: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₄ = ((3*sqrt(2))+sqrt(6))/2*r_i/((2+sqrt(3))/2) --> ((3*sqrt(2))+sqrt(6))/2*19/((2+sqrt(3))/2)

Evaluating ... ...

d₄ = 34.069867942386

STEP 3: Convert Result to Output's Unit

34.069867942386 Meter --> No Conversion Required

FINAL ANSWER

34.069867942386 ≈ 34.06987 Meter <-- Diagonal Across Four Sides of Dodecagon

(Calculation completed in 00.004 seconds)

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< Diagonal of Dodecagon across Four Sides Calculators

Diagonal of Dodecagon across Four Sides given Circumradius

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

Diagonal of Dodecagon across Four Sides given Area

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

Diagonal of Dodecagon across Four Sides given Inradius

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

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 Four Sides given Inradius Formula

LaTeX Go

Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2)
d₄ = ((3*sqrt(2))+sqrt(6))/2*r_i/((2+sqrt(3))/2)

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 Four Sides given Inradius?

Diagonal of Dodecagon across Four Sides given Inradius calculator uses Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2) to calculate the Diagonal Across Four Sides of Dodecagon, The Diagonal of Dodecagon across Four Sides given Inradius formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using inradius. Diagonal Across Four Sides of Dodecagon is denoted by d₄ symbol.

How to calculate Diagonal of Dodecagon across Four Sides given Inradius using this online calculator? To use this online calculator for Diagonal of Dodecagon across Four Sides given Inradius, enter Inradius of Dodecagon (r_i) and hit the calculate button. Here is how the Diagonal of Dodecagon across Four Sides given Inradius calculation can be explained with given input values -> 34.06987 = ((3*sqrt(2))+sqrt(6))/2*19/((2+sqrt(3))/2).

FAQ

What is Diagonal of Dodecagon across Four Sides given Inradius?

The Diagonal of Dodecagon across Four Sides given Inradius formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using inradius and is represented as d₄ = ((3*sqrt(2))+sqrt(6))/2*r_i/((2+sqrt(3))/2) or Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2). Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

How to calculate Diagonal of Dodecagon across Four Sides given Inradius?

The Diagonal of Dodecagon across Four Sides given Inradius formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using inradius is calculated using Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2). To calculate Diagonal of Dodecagon across Four Sides given Inradius, you need Inradius of Dodecagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Four Sides of Dodecagon?

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

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

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