Chord Length of Star Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid
lc = [phi]*le(Base)
This formula uses 1 Constants, 2 Variables
Constants Used
[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Variables Used
Chord Length of Star Pyramid - (Measured in Meter) - Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.
Edge Length of Base of Star Pyramid - (Measured in Meter) - Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Base of Star Pyramid: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lc = [phi]*le(Base) --> [phi]*6
Evaluating ... ...
lc = 9.70820393249937
STEP 3: Convert Result to Output's Unit
9.70820393249937 Meter --> No Conversion Required
FINAL ANSWER
9.70820393249937 9.708204 Meter <-- Chord Length of Star Pyramid
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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4 Chord Length of Star Pyramid Calculators

Chord Length of Star Pyramid given Volume
Go Chord Length of Star Pyramid = sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid))
Chord Length of Star Pyramid given Lateral Edge Length
Go Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
Chord Length of Star Pyramid
Go Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid
Chord Length of Star Pyramid given Pentagonal Edge Length of Base
Go Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid

Chord Length of Star Pyramid Formula

Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid
lc = [phi]*le(Base)

What is a Star Pyramid?

A Star Pyramid is based on a regular pentagram and is concave. It is a pyramid with a pentagrammic base. It has 11 faces which include a pentagram base surface and 10 triangular surfaces. Also, It has 20 edges and 6 vertices.

How to Calculate Chord Length of Star Pyramid?

Chord Length of Star Pyramid calculator uses Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid to calculate the Chord Length of Star Pyramid, Chord Length of Star Pyramid formula is defined as the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid. Chord Length of Star Pyramid is denoted by lc symbol.

How to calculate Chord Length of Star Pyramid using this online calculator? To use this online calculator for Chord Length of Star Pyramid, enter Edge Length of Base of Star Pyramid (le(Base)) and hit the calculate button. Here is how the Chord Length of Star Pyramid calculation can be explained with given input values -> 9.708204 = [phi]*6.

FAQ

What is Chord Length of Star Pyramid?
Chord Length of Star Pyramid formula is defined as the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid and is represented as lc = [phi]*le(Base) or Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid. Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.
How to calculate Chord Length of Star Pyramid?
Chord Length of Star Pyramid formula is defined as the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid is calculated using Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid. To calculate Chord Length of Star Pyramid, you need Edge Length of Base of Star Pyramid (le(Base)). With our tool, you need to enter the respective value for Edge Length of Base of Star Pyramid 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 Star Pyramid?
In this formula, Chord Length of Star Pyramid uses Edge Length of Base of Star Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid
  • Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
  • Chord Length of Star Pyramid = sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid))
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