Chord Length of Pentagram given Perimeter and Long Chord Slice Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram
lc = (P*[phi])/10+lLong Chord Slice
This formula uses 1 Constants, 3 Variables
Constants Used
[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Variables Used
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.
Perimeter of Pentagram - (Measured in Meter) - The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.
Long Chord Slice of Pentagram - (Measured in Meter) - The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Pentagram: 60 Meter --> 60 Meter No Conversion Required
Long Chord Slice of Pentagram: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lc = (P*[phi])/10+lLong Chord Slice --> (60*[phi])/10+6
Evaluating ... ...
lc = 15.7082039324994
STEP 3: Convert Result to Output's Unit
15.7082039324994 Meter --> No Conversion Required
FINAL ANSWER
15.7082039324994 15.7082 Meter <-- Chord Length of Pentagram
(Calculation completed in 00.006 seconds)

Credits

Creator Image
Created by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has created this Calculator and 400+ more calculators!
Verifier Image
Verified by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has verified this Calculator and 400+ more calculators!

9 Chord Length of Pentagram Calculators

Chord Length of Pentagram given Area and Short Chord Slice
​ Go Chord Length of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))+(Short Chord Slice of Pentagram*[phi])
Chord Length of Pentagram given Area
​ Go Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))
Chord Length of Pentagram given Perimeter and Long Chord Slice
​ Go Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram
Chord Length of Pentagram given Short Chord Slice
​ Go Chord Length of Pentagram = (2*Pentagonal Edge Length of Pentagram)-Short Chord Slice of Pentagram
Chord Length of Pentagram given Long Chord Slice
​ Go Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
Chord Length of Pentagram given Long Chord Slice and Short Chord Slice
​ Go Chord Length of Pentagram = (2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram
Chord Length of Pentagram given Perimeter and Short Chord Slice
​ Go Chord Length of Pentagram = Perimeter of Pentagram/5+Short Chord Slice of Pentagram
Chord Length of Pentagram
​ Go Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
Chord Length of Pentagram given Perimeter
​ Go Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])

Chord Length of Pentagram given Perimeter and Long Chord Slice Formula

Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram
lc = (P*[phi])/10+lLong Chord Slice

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 Chord Length of Pentagram given Perimeter and Long Chord Slice?

Chord Length of Pentagram given Perimeter and Long Chord Slice calculator uses Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram to calculate the Chord Length of Pentagram, The Chord Length of Pentagram given Perimeter and Long Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and long chord slice of the Pentagram. Chord Length of Pentagram is denoted by lc symbol.

How to calculate Chord Length of Pentagram given Perimeter and Long Chord Slice using this online calculator? To use this online calculator for Chord Length of Pentagram given Perimeter and Long Chord Slice, enter Perimeter of Pentagram (P) & Long Chord Slice of Pentagram (lLong Chord Slice) and hit the calculate button. Here is how the Chord Length of Pentagram given Perimeter and Long Chord Slice calculation can be explained with given input values -> 15.7082 = (60*[phi])/10+6.

FAQ

What is Chord Length of Pentagram given Perimeter and Long Chord Slice?
The Chord Length of Pentagram given Perimeter and Long Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and long chord slice of the Pentagram and is represented as lc = (P*[phi])/10+lLong Chord Slice or Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram. The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram & The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.
How to calculate Chord Length of Pentagram given Perimeter and Long Chord Slice?
The Chord Length of Pentagram given Perimeter and Long Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and long chord slice of the Pentagram is calculated using Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram. To calculate Chord Length of Pentagram given Perimeter and Long Chord Slice, you need Perimeter of Pentagram (P) & Long Chord Slice of Pentagram (lLong Chord Slice). With our tool, you need to enter the respective value for Perimeter of Pentagram & Long Chord Slice 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 Chord Length of Pentagram?
In this formula, Chord Length of Pentagram uses Perimeter of Pentagram & Long Chord Slice of Pentagram. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
  • Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
  • Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])
  • Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))
  • Chord Length of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))+(Short Chord Slice of Pentagram*[phi])
  • Chord Length of Pentagram = Perimeter of Pentagram/5+Short Chord Slice of Pentagram
  • Chord Length of Pentagram = (2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram
  • Chord Length of Pentagram = (2*Pentagonal Edge Length of Pentagram)-Short Chord Slice of Pentagram
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!