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*le
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*le --> (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 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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St Joseph's College (SJC), Bengaluru
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7 Width of Pentagon Calculators

Width of Pentagon given Area
Go Width of Pentagon = (1+sqrt(5))/2* sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))
Width of Pentagon given Circumradius
Go Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))
Width of Pentagon given Inradius
Go Width of Pentagon = 5*Inradius of Pentagon*(1+sqrt(5))/sqrt(25+(10*sqrt(5)))
Width of Pentagon given Height
Go Width of Pentagon = Height of Pentagon*(1+sqrt(5))/sqrt(5+(2*sqrt(5)))
Width of Pentagon
Go Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon
Width of Pentagon given Perimeter
Go Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10
Width of Pentagon given Diagonal
Go Width of Pentagon = Diagonal of Pentagon*1

4 Other Formulas of Pentagon Calculators

Edge Length of Pentagon given Area and Inradius
Go Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)
Diagonal of Pentagon
Go Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2
Width of Pentagon
Go Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon
Perimeter of Pentagon
Go Perimeter of Pentagon = 5*Edge Length of Pentagon

Width of Pentagon Formula

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

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 (le) 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*le 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 (le). 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 6 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
  • Width of Pentagon = Diagonal of Pentagon*1
  • Width of Pentagon = 5*Inradius of Pentagon*(1+sqrt(5))/sqrt(25+(10*sqrt(5)))
  • Width of Pentagon = Height of Pentagon*(1+sqrt(5))/sqrt(5+(2*sqrt(5)))
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