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

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Diagonal of Pentagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Diagonal of Pentagon - (Measured in Meter) - Diagonal of Pentagon is a straight line joining two non adjacent vertices of a 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

d = (1+sqrt(5))*P/10 --> (1+sqrt(5))*50/10

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

Diagonal of Pentagon given Perimeter Formula

LaTeX Go

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

Diagonal of Pentagon given Perimeter calculator uses Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10 to calculate the Diagonal of Pentagon, The Diagonal of Pentagon given Perimeter formula is defined as the length of the line segment joining two non-adjacent vertices of the Pentagon, calculated using the perimeter. Diagonal of Pentagon is denoted by d symbol.

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

FAQ

What is Diagonal of Pentagon given Perimeter?

The Diagonal of Pentagon given Perimeter formula is defined as the length of the line segment joining two non-adjacent vertices of the Pentagon, calculated using the perimeter and is represented as d = (1+sqrt(5))*P/10 or Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10. The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

How to calculate Diagonal of Pentagon given Perimeter?

The Diagonal of Pentagon given Perimeter formula is defined as the length of the line segment joining two non-adjacent vertices of the Pentagon, calculated using the perimeter is calculated using Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10. To calculate Diagonal 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 Diagonal of Pentagon?

In this formula, Diagonal of Pentagon uses Perimeter 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))*Edge Length of Pentagon/2
Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))

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