LCM of three numbers

Diagonal of Pentagon Calculator

✖The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.ⓘ Edge Length of Pentagon [l_e]

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✖Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.ⓘ Diagonal of Pentagon [d]

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Diagonal of Pentagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2
d = (1+sqrt(5))*l_e/2
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Diagonal of Pentagon - (Measured in Meter) - Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.
Edge Length of Pentagon - (Measured in Meter) - The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Pentagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (1+sqrt(5))*l_e/2 --> (1+sqrt(5))*10/2

Evaluating ... ...

d = 16.1803398874989

STEP 3: Convert Result to Output's Unit

16.1803398874989 Meter --> No Conversion Required

FINAL ANSWER

16.1803398874989 ≈ 16.18034 Meter <-- Diagonal of Pentagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Diagonal of Pentagon Calculators

Diagonal of Pentagon given Area

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))

Diagonal of Pentagon given Circumradius

LaTeX Go Diagonal of Pentagon = Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))

Diagonal of Pentagon

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2

Diagonal of Pentagon given Perimeter

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10

< Other Formulas of Pentagon Calculators

Edge Length of Pentagon given Area and Inradius

LaTeX Go Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)

Diagonal of Pentagon

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2

Width of Pentagon

LaTeX Go Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon

Perimeter of Pentagon

LaTeX Go Perimeter of Pentagon = 5*Edge Length of Pentagon

Diagonal of Pentagon Formula

LaTeX Go

Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2
d = (1+sqrt(5))*l_e/2

What is Pentagon?

A Pentagon shape is a flat shape or a flat (two-dimensional) 5-sided geometric shape. In geometry, it is considered as a is a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Pentagons can be simple or self-intersecting. A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other. A self-intersecting regular pentagon is called a pentagram.

How to Calculate Diagonal of Pentagon?

Diagonal of Pentagon calculator uses Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2 to calculate 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 calculate Diagonal of Pentagon using this online calculator? To use this online calculator for Diagonal of Pentagon, enter Edge Length of Pentagon (l_e) and hit the calculate button. Here is how the Diagonal of Pentagon calculation can be explained with given input values -> 16.18034 = (1+sqrt(5))*10/2.

FAQ

What is Diagonal of Pentagon?

The Diagonal of Pentagon formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon and is represented as d = (1+sqrt(5))*l_e/2 or Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2. The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

How to calculate Diagonal of Pentagon?

The Diagonal of Pentagon formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon is calculated using Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2. To calculate Diagonal of Pentagon, you need Edge Length of Pentagon (l_e). With our tool, you need to enter the respective value for Edge Length of Pentagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diagonal of Pentagon?

In this formula, Diagonal of Pentagon uses Edge Length of Pentagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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