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Diagonal of Pentagon given Perimeter Formula

GoDiagonal of Pentagon given Circumradius Formula

GoDiagonal of Pentagon Formula

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Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon. Check FAQs

d = (1 + \sqrt{5}) \cdot \frac{P}{10}

d - Diagonal of Pentagon?P - Perimeter of Pentagon?

Diagonal of Pentagon given Perimeter Example

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Here is how the Diagonal of Pentagon given Perimeter equation looks like with Values.

Here is how the Diagonal of Pentagon given Perimeter equation looks like with Units.

Here is how the Diagonal of Pentagon given Perimeter equation looks like.

16.1803 = (1 + \sqrt{5}) \cdot \frac{50}{10}

16.1803m = (1 + \sqrt{5}) \cdot \frac{50m}{10}

16.1803 = (1 + \sqrt{5}) \cdot \frac{50}{10}

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Diagonal of Pentagon given Perimeter Solution

Follow our step by step solution on how to calculate Diagonal of Pentagon given Perimeter?

FIRST Step Consider the formula

d = (1 + \sqrt{5}) \cdot \frac{P}{10}

Next Step Substitute values of Variables

∴

d = (1 + \sqrt{5}) \cdot \frac{50m}{10}

Next Step Prepare to Evaluate

∴

d = (1 + \sqrt{5}) \cdot \frac{50}{10}

Next Step Evaluate

∴

d = 16.1803398874989m

LAST Step Rounding Answer

∴

d = 16.1803m

Diagonal of Pentagon given Perimeter Formula Elements

Variables

Functions

Diagonal of Pentagon

Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Pentagon

Perimeter of Pentagon

The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Pentagon

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 of Pentagon

Go Diagonal of Pentagon given Circumradius

d = \frac{r c}{\sqrt{\frac{5 - \sqrt{5}}{10}}}

Go Diagonal of Pentagon

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

Go Diagonal of Pentagon given Area

d = (1 + \sqrt{5}) \cdot \sqrt{\frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Diagonal of Pentagon given Height

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

How to Evaluate Diagonal of Pentagon given Perimeter?

Diagonal of Pentagon given Perimeter evaluator uses Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10 to evaluate the Diagonal of Pentagon, The Diagonal of Pentagon given Perimeter formula is defined as the length of the line segment joining two non-adjacent vertices of the Pentagon, calculated using the perimeter. Diagonal of Pentagon is denoted by d symbol.

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

FAQs on Diagonal of Pentagon given Perimeter

What is the formula to find Diagonal of Pentagon given Perimeter?

The formula of Diagonal of Pentagon given Perimeter is expressed as Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10. Here is an example- 16.18034 = (1+sqrt(5))*50/10.

How to calculate Diagonal of Pentagon given Perimeter?

With Perimeter of Pentagon (P) we can find Diagonal of Pentagon given Perimeter using the formula - Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal of Pentagon?

Here are the different ways to Calculate Diagonal of Pentagon-

Diagonal of Pentagon=Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))
Diagonal of Pentagon=(1+sqrt(5))*Edge Length of Pentagon/2
Diagonal of Pentagon=(1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))

Can the Diagonal of Pentagon given Perimeter be negative?

No, the Diagonal of Pentagon given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Diagonal of Pentagon given Perimeter?

Diagonal of Pentagon 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 Pentagon given Perimeter can be measured.

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