Width 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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✖Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.ⓘ Width of Pentagon [w]

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Width of Pentagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon
w = (1+sqrt(5))/2*l_e
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

Width of Pentagon - (Measured in Meter) - Width of Pentagon is the measurement or extent of horizontal distance from left to right of the 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

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

Evaluating ... ...

w = 16.1803398874989

STEP 3: Convert Result to Output's Unit

16.1803398874989 Meter --> No Conversion Required

FINAL ANSWER

16.1803398874989 ≈ 16.18034 Meter <-- Width of Pentagon

(Calculation completed in 00.004 seconds)

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Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Width of Pentagon Calculators

Width of Pentagon given Area

LaTeX Go Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))

Width of Pentagon given Circumradius

LaTeX Go Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))

Width of Pentagon

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

Width of Pentagon given Perimeter

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

Width of Pentagon Formula

LaTeX Go

Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon
w = (1+sqrt(5))/2*l_e

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 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 Width of Pentagon?

Width of Pentagon calculator uses Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon to calculate the Width of Pentagon, Width of Pentagon is the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal). Width of Pentagon is denoted by w symbol.

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

FAQ

What is Width of Pentagon?

Width of Pentagon is the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal) and is represented as w = (1+sqrt(5))/2*l_e or Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon. The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

How to calculate Width of Pentagon?

Width of Pentagon is the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal) is calculated using Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon. To calculate Width 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 Width of Pentagon?

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

Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))
Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))
Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10

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