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Diagonal of Decagon across Three Sides given Perimeter Formula

GoDiagonal of Decagon across Three Sides Formula

GoDiagonal of Decagon across Three Sides given Diagonal across Five Sides Formula

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Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon. Check FAQs

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{P}{10}

d₃ - Diagonal across Three Sides of Decagon?P - Perimeter of Decagon?

Diagonal of Decagon across Three Sides given Perimeter Example

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

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

Here is how the Diagonal of Decagon across Three Sides given Perimeter equation looks like.

26.1803 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{100}{10}

26.1803m = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{100m}{10}

26.1803 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{100}{10}

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Diagonal of Decagon across Three Sides given Perimeter Solution

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

FIRST Step Consider the formula

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{P}{10}

Next Step Substitute values of Variables

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{100m}{10}

Next Step Prepare to Evaluate

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{100}{10}

Next Step Evaluate

∴

d 3 = 26.180339887499m

LAST Step Rounding Answer

∴

d 3 = 26.1803m

Diagonal of Decagon across Three Sides given Perimeter Formula Elements

Variables

Functions

Diagonal across Three Sides of Decagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Three Sides of Decagon

Perimeter of Decagon

Perimeter of Decagon is the total distance around the edge of the Decagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Decagon

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 Three Sides of Decagon

Go Diagonal of Decagon across Three Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot S

Go Diagonal of Decagon across Three Sides given Diagonal across Five Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 5}{1 + \sqrt{5}}

Go Diagonal of Decagon across Three Sides given Diagonal across Four Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Diagonal of Decagon across Three Sides given Diagonal across Two Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

How to Evaluate Diagonal of Decagon across Three Sides given Perimeter?

Diagonal of Decagon across Three Sides given Perimeter evaluator uses Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Perimeter of Decagon/10 to evaluate the Diagonal across Three Sides of Decagon, The Diagonal of Decagon across Three Sides given Perimeter formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using the perimeter. Diagonal across Three Sides of Decagon is denoted by d₃ symbol.

How to evaluate Diagonal of Decagon across Three Sides given Perimeter using this online evaluator? To use this online evaluator for Diagonal of Decagon across Three Sides given Perimeter, enter Perimeter of Decagon (P) and hit the calculate button.

FAQs on Diagonal of Decagon across Three Sides given Perimeter

What is the formula to find Diagonal of Decagon across Three Sides given Perimeter?

The formula of Diagonal of Decagon across Three Sides given Perimeter is expressed as Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Perimeter of Decagon/10. Here is an example- 26.18034 = sqrt(14+(6*sqrt(5)))/2*100/10.

How to calculate Diagonal of Decagon across Three Sides given Perimeter?

With Perimeter of Decagon (P) we can find Diagonal of Decagon across Three Sides given Perimeter using the formula - Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Perimeter of Decagon/10. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal across Three Sides of Decagon?

Here are the different ways to Calculate Diagonal across Three Sides of Decagon-

Diagonal across Three Sides of Decagon=sqrt(14+(6*sqrt(5)))/2*Side of Decagon
Diagonal across Three Sides of Decagon=sqrt(14+(6*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal across Three Sides of Decagon=sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Can the Diagonal of Decagon across Three Sides given Perimeter be negative?

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

Which unit is used to measure Diagonal of Decagon across Three Sides given Perimeter?

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

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