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Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides Formula

GoDiagonal of Dodecagon across Five Sides given Circumradius Formula

GoDiagonal of Dodecagon across Five Sides given Area Formula

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Diagonal across Five Sides of Dodecagon is a straight line joining two non-adjacent vertices across five sides of the Dodecagon. Check FAQs

d 5 = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

d₅ - Diagonal Across Five Sides of Dodecagon?d₃ - Diagonal Across Three Sides of Dodecagon?

Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides Example

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

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

Here is how the Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides equation looks like.

36.8827 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

36.8827m = (2 + \sqrt{3}) \cdot \frac{27m}{\sqrt{3} + 1}

36.8827 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

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2D Geometry » fx Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides

Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

d 5 = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

Next Step Substitute values of Variables

∴

d 5 = (2 + \sqrt{3}) \cdot \frac{27m}{\sqrt{3} + 1}

Next Step Prepare to Evaluate

∴

d 5 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

Next Step Evaluate

∴

d 5 = 36.8826859021798m

LAST Step Rounding Answer

∴

d 5 = 36.8827m

Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides Formula Elements

Variables

Functions

Diagonal Across Five Sides of Dodecagon

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

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Five Sides of Dodecagon

Diagonal Across Three Sides of Dodecagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Three 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 Diagonal Across Five Sides of Dodecagon

Go Diagonal of Dodecagon across Five Sides given Circumradius

d 5 = (2 + \sqrt{3}) \cdot \frac{2 \cdot r c}{\sqrt{6} + \sqrt{2}}

Go Diagonal of Dodecagon across Five Sides given Area

d 5 = \sqrt{\frac{(2 + \sqrt{3}) \cdot A}{3}}

Go Diagonal of Dodecagon across Five Sides given Perimeter

d 5 = (2 + \sqrt{3}) \cdot \frac{P}{12}

Go Diagonal of Dodecagon across Five Sides given Inradius

d 5 = 2 \cdot r i

How to Evaluate Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides?

Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides evaluator uses Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1) to evaluate the Diagonal Across Five Sides of Dodecagon, The Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of the Dodecagon, calculated using diagonal across three sides. Diagonal Across Five Sides of Dodecagon is denoted by d₅ symbol.

How to evaluate Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides using this online evaluator? To use this online evaluator for Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides, enter Diagonal Across Three Sides of Dodecagon (d₃) and hit the calculate button.

FAQs on Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides

What is the formula to find Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides?

The formula of Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides is expressed as Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). Here is an example- 36.88269 = (2+sqrt(3))*27/(sqrt(3)+1).

How to calculate Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides?

With Diagonal Across Three Sides of Dodecagon (d₃) we can find Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides using the formula - Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal Across Five Sides of Dodecagon?

Here are the different ways to Calculate Diagonal Across Five Sides of Dodecagon-

Diagonal Across Five Sides of Dodecagon=(2+sqrt(3))*(2*Circumradius of Dodecagon)/(sqrt(6)+sqrt(2))
Diagonal Across Five Sides of Dodecagon=sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Diagonal Across Five Sides of Dodecagon=(2+sqrt(3))*Perimeter of Dodecagon/12

Can the Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides be negative?

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

Which unit is used to measure Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides?

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

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