Perimeter of Pentagon given Diagonal Calculator

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

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

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Perimeter of Pentagon given Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5))
P = 10*d/(1+sqrt(5))
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

Perimeter of Pentagon - (Measured in Meter) - The Perimeter of Pentagon is the total distance around the edge of the Pentagon.
Diagonal of Pentagon - (Measured in Meter) - Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Pentagon: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 10*d/(1+sqrt(5)) --> 10*16/(1+sqrt(5))

Evaluating ... ...

P = 49.4427190999916

STEP 3: Convert Result to Output's Unit

49.4427190999916 Meter --> No Conversion Required

FINAL ANSWER

49.4427190999916 ≈ 49.44272 Meter <-- Perimeter 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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< Perimeter of Pentagon Calculators

Perimeter of Pentagon given Area

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

Perimeter of Pentagon given Circumradius

LaTeX Go Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))

Perimeter of Pentagon given Inradius

LaTeX Go Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))

Perimeter of Pentagon

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

Perimeter of Pentagon given Diagonal Formula

LaTeX Go

Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5))
P = 10*d/(1+sqrt(5))

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 Perimeter of Pentagon given Diagonal?

Perimeter of Pentagon given Diagonal calculator uses Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5)) to calculate the Perimeter of Pentagon, The Perimeter of Pentagon given Diagonal formula is defined as the summation of all the sides of the Pentagon, where all the sides of the Pentagon are of equal length, calculated using a diagonal. Perimeter of Pentagon is denoted by P symbol.

How to calculate Perimeter of Pentagon given Diagonal using this online calculator? To use this online calculator for Perimeter of Pentagon given Diagonal, enter Diagonal of Pentagon (d) and hit the calculate button. Here is how the Perimeter of Pentagon given Diagonal calculation can be explained with given input values -> 49.44272 = 10*16/(1+sqrt(5)).

FAQ

What is Perimeter of Pentagon given Diagonal?

The Perimeter of Pentagon given Diagonal formula is defined as the summation of all the sides of the Pentagon, where all the sides of the Pentagon are of equal length, calculated using a diagonal and is represented as P = 10*d/(1+sqrt(5)) or Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5)). Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.

How to calculate Perimeter of Pentagon given Diagonal?

The Perimeter of Pentagon given Diagonal formula is defined as the summation of all the sides of the Pentagon, where all the sides of the Pentagon are of equal length, calculated using a diagonal is calculated using Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5)). To calculate Perimeter of Pentagon given Diagonal, you need Diagonal of Pentagon (d). With our tool, you need to enter the respective value for Diagonal 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 Perimeter of Pentagon?

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

Perimeter of Pentagon = 5*Edge Length of Pentagon
Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))
Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))

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