Width of Pentagon given Perimeter Calculator

✖The Perimeter of Pentagon is the total distance around the edge of the Pentagon.ⓘ Perimeter of Pentagon [P]

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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 given Perimeter [w]

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Width of Pentagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10
w = P*(1+sqrt(5))/10
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.
Perimeter of Pentagon - (Measured in Meter) - The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Pentagon: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = P*(1+sqrt(5))/10 --> 50*(1+sqrt(5))/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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Created by Divanshi Jain

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

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< 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

Width of Pentagon given Perimeter Formula

LaTeX Go

Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10
w = P*(1+sqrt(5))/10

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 given Perimeter?

Width of Pentagon given Perimeter calculator uses Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10 to calculate the Width of Pentagon, The Width of Pentagon given Perimeter formula is defined as the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal), calculated using the perimeter. Width of Pentagon is denoted by w symbol.

How to calculate Width of Pentagon given Perimeter using this online calculator? To use this online calculator for Width of Pentagon given Perimeter, enter Perimeter of Pentagon (P) and hit the calculate button. Here is how the Width of Pentagon given Perimeter calculation can be explained with given input values -> 16.18034 = 50*(1+sqrt(5))/10.

FAQ

What is Width of Pentagon given Perimeter?

The Width of Pentagon given Perimeter formula is defined as the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal), calculated using the perimeter and is represented as w = P*(1+sqrt(5))/10 or Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10. The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

How to calculate Width of Pentagon given Perimeter?

The Width of Pentagon given Perimeter formula is defined as the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal), calculated using the perimeter is calculated using Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10. To calculate Width of Pentagon given Perimeter, you need Perimeter of Pentagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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*Edge Length of Pentagon
Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))

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