Perimeter of Pentagram given Pentagonal Edge Length and Chord Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)
P = 10*(lc-le(Pentagon))
This formula uses 3 Variables
Variables Used
Perimeter of Pentagram - (Measured in Meter) - The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.
Chord Length of Pentagram - (Measured in Meter) - The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals.
Pentagonal Edge Length of Pentagram - (Measured in Meter) - Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.
STEP 1: Convert Input(s) to Base Unit
Chord Length of Pentagram: 16 Meter --> 16 Meter No Conversion Required
Pentagonal Edge Length of Pentagram: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 10*(lc-le(Pentagon)) --> 10*(16-10)
Evaluating ... ...
P = 60
STEP 3: Convert Result to Output's Unit
60 Meter --> No Conversion Required
FINAL ANSWER
60 Meter <-- Perimeter of Pentagram
(Calculation completed in 00.020 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Perimeter of Pentagram Calculators

Perimeter of Pentagram given Pentagonal Edge Length and Short Chord Slice
​ LaTeX ​ Go Perimeter of Pentagram = 10*(Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram)
Perimeter of Pentagram given Pentagonal Edge Length and Chord Length
​ LaTeX ​ Go Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)
Perimeter of Pentagram given Pentagonal Edge Length
​ LaTeX ​ Go Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]
Perimeter of Pentagram
​ LaTeX ​ Go Perimeter of Pentagram = 10*Long Chord Slice of Pentagram

Perimeter of Pentagram given Pentagonal Edge Length and Chord Length Formula

​LaTeX ​Go
Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)
P = 10*(lc-le(Pentagon))

What is Pentagram?

A Pentagram is constructed from the diagonals of a pentagon. The Pentagram is the most simple regular star polygon. The chord slices of a regular Pentagram are in the golden ratio φ 1.6180.

How to Calculate Perimeter of Pentagram given Pentagonal Edge Length and Chord Length?

Perimeter of Pentagram given Pentagonal Edge Length and Chord Length calculator uses Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram) to calculate the Perimeter of Pentagram, The Perimeter of Pentagram given Pentagonal Edge Length and Chord Length formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the edge length of the pentagon and the chord length of the Pentagram. Perimeter of Pentagram is denoted by P symbol.

How to calculate Perimeter of Pentagram given Pentagonal Edge Length and Chord Length using this online calculator? To use this online calculator for Perimeter of Pentagram given Pentagonal Edge Length and Chord Length, enter Chord Length of Pentagram (lc) & Pentagonal Edge Length of Pentagram (le(Pentagon)) and hit the calculate button. Here is how the Perimeter of Pentagram given Pentagonal Edge Length and Chord Length calculation can be explained with given input values -> 60 = 10*(16-10).

FAQ

What is Perimeter of Pentagram given Pentagonal Edge Length and Chord Length?
The Perimeter of Pentagram given Pentagonal Edge Length and Chord Length formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the edge length of the pentagon and the chord length of the Pentagram and is represented as P = 10*(lc-le(Pentagon)) or Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram). The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals & Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.
How to calculate Perimeter of Pentagram given Pentagonal Edge Length and Chord Length?
The Perimeter of Pentagram given Pentagonal Edge Length and Chord Length formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the edge length of the pentagon and the chord length of the Pentagram is calculated using Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram). To calculate Perimeter of Pentagram given Pentagonal Edge Length and Chord Length, you need Chord Length of Pentagram (lc) & Pentagonal Edge Length of Pentagram (le(Pentagon)). With our tool, you need to enter the respective value for Chord Length of Pentagram & Pentagonal Edge Length of Pentagram 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 Pentagram?
In this formula, Perimeter of Pentagram uses Chord Length of Pentagram & Pentagonal Edge Length of Pentagram. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Pentagram = 10*Long Chord Slice of Pentagram
  • Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]
  • Perimeter of Pentagram = 10*(Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram)
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