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Side of Dodecagon given Diagonal across Four Sides Formula

GoSide of Dodecagon given Diagonal across Two Sides Formula

GoSide of Dodecagon given Diagonal across Five Sides Formula

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Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon. Check FAQs

S = \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

S - Side of Dodecagon?d₄ - Diagonal Across Four Sides of Dodecagon?

Side of Dodecagon given Diagonal across Four Sides Example

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Here is how the Side of Dodecagon given Diagonal across Four Sides equation looks like with Values.

Here is how the Side of Dodecagon given Diagonal across Four Sides equation looks like with Units.

Here is how the Side of Dodecagon given Diagonal across Four Sides equation looks like.

9.8623 = \frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

9.8623m = \frac{33m}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

9.8623 = \frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

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2D Geometry » fx Side of Dodecagon given Diagonal across Four Sides

Side of Dodecagon given Diagonal across Four Sides Solution

Follow our step by step solution on how to calculate Side of Dodecagon given Diagonal across Four Sides?

FIRST Step Consider the formula

S = \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Next Step Substitute values of Variables

∴

S = \frac{33m}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Next Step Prepare to Evaluate

∴

S = \frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Next Step Evaluate

∴

S = 9.86233019384859m

LAST Step Rounding Answer

∴

S = 9.8623m

Side of Dodecagon given Diagonal across Four Sides Formula Elements

Variables

Functions

Side of Dodecagon

Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Dodecagon

Diagonal Across Four Sides of Dodecagon

Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Four Sides of Dodecagon

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.

Syntax: sqrt(Number)

Other Formulas to find Side of Dodecagon

Go Side of Dodecagon given Diagonal across Two Sides

S = \frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}}

Go Side of Dodecagon given Diagonal across Five Sides

S = \frac{d 5}{2 + \sqrt{3}}

Go Side of Dodecagon given Diagonal across Three Sides

S = \frac{d 3}{\sqrt{3} + 1}

Go Side of Dodecagon given Diagonal across Six Sides

S = \frac{d 6}{\sqrt{6} + \sqrt{2}}

How to Evaluate Side of Dodecagon given Diagonal across Four Sides?

Side of Dodecagon given Diagonal across Four Sides evaluator uses Side of Dodecagon = Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2) to evaluate the Side of Dodecagon, Side of Dodecagon given Diagonal across Four Sides formula is defined as the straight line joining two adjacent vertices of the Dodecagon, calculated using a diagonal across four sides. Side of Dodecagon is denoted by S symbol.

How to evaluate Side of Dodecagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Side of Dodecagon given Diagonal across Four Sides, enter Diagonal Across Four Sides of Dodecagon (d₄) and hit the calculate button.

FAQs on Side of Dodecagon given Diagonal across Four Sides

What is the formula to find Side of Dodecagon given Diagonal across Four Sides?

The formula of Side of Dodecagon given Diagonal across Four Sides is expressed as Side of Dodecagon = Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2). Here is an example- 9.86233 = 33/(((3*sqrt(2))+sqrt(6))/2).

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

With Diagonal Across Four Sides of Dodecagon (d₄) we can find Side of Dodecagon given Diagonal across Four Sides using the formula - Side of Dodecagon = Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Side of Dodecagon?

Here are the different ways to Calculate Side of Dodecagon-

Side of Dodecagon=Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Side of Dodecagon=Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Side of Dodecagon=Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

Can the Side of Dodecagon given Diagonal across Four Sides be negative?

No, the Side of Dodecagon given Diagonal across Four Sides, measured in Length cannot be negative.

Which unit is used to measure Side of Dodecagon given Diagonal across Four Sides?

Side of Dodecagon given Diagonal across Four Sides is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Side of Dodecagon given Diagonal across Four Sides can be measured.

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