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Diagonal 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{l e}{2}

d - Diagonal of Pentagon?l_e - Edge Length of Pentagon?

Diagonal of Pentagon Example

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

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

Here is how the Diagonal of Pentagon equation looks like.

16.1803 = (1 + \sqrt{5}) \cdot \frac{10}{2}

16.1803m = (1 + \sqrt{5}) \cdot \frac{10m}{2}

16.1803 = (1 + \sqrt{5}) \cdot \frac{10}{2}

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Diagonal of Pentagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = (1 + \sqrt{5}) \cdot \frac{10m}{2}

Next Step Prepare to Evaluate

∴

d = (1 + \sqrt{5}) \cdot \frac{10}{2}

Next Step Evaluate

∴

d = 16.1803398874989m

LAST Step Rounding Answer

∴

d = 16.1803m

Diagonal of Pentagon 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

Edge Length of Pentagon

The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 in Diagonal of Pentagon category

Go Perimeter of Pentagon

P = 5 \cdot l e

Go Width of Pentagon

w = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Edge Length of Pentagon given Area and Inradius

l e = \frac{2 \cdot A}{5 \cdot r i}

How to Evaluate Diagonal of Pentagon?

Diagonal of Pentagon evaluator uses Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2 to evaluate the Diagonal of Pentagon, The Diagonal of Pentagon formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon. Diagonal of Pentagon is denoted by d symbol.

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

FAQs on Diagonal of Pentagon

What is the formula to find Diagonal of Pentagon?

The formula of Diagonal of Pentagon is expressed as Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2. Here is an example- 16.18034 = (1+sqrt(5))*10/2.

How to calculate Diagonal of Pentagon?

With Edge Length of Pentagon (l_e) we can find Diagonal of Pentagon using the formula - Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2. This formula also uses Square Root (sqrt) function(s).

Can the Diagonal of Pentagon be negative?

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

Which unit is used to measure Diagonal of Pentagon?

Diagonal of Pentagon 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 can be measured.

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