Chord Length of Star Pyramid given Lateral Edge Length Calculator

✖Lateral Edge Length of Star Pyramid is the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid.ⓘ Lateral Edge Length of Star Pyramid [l_e(Lateral)]			+10% -10%
✖Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.ⓘ Height of Star Pyramid [h]			+10% -10%

✖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.ⓘ Chord Length of Star Pyramid given Lateral Edge Length [l_c]

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Formula

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Chord Length of Star Pyramid given Lateral Edge Length

Formula

`"l"_{"c"} = sqrt((("l"_{"e(Lateral)"}^2-"h"^2)*100)/(50+(10*sqrt(5))))`

Example

`"9.975047m"=sqrt(((("11m")^2-("7m")^2)*100)/(50+(10*sqrt(5))))`

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Chord Length of Star Pyramid given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
l_c = sqrt(((l_e(Lateral)^2-h^2)*100)/(50+(10*sqrt(5))))
This formula uses 1 Functions, 3 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

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.
Lateral Edge Length of Star Pyramid - (Measured in Meter) - Lateral Edge Length of Star Pyramid is the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid.
Height of Star Pyramid - (Measured in Meter) - Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

STEP 1: Convert Input(s) to Base Unit

Lateral Edge Length of Star Pyramid: 11 Meter --> 11 Meter No Conversion Required
Height of Star Pyramid: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = sqrt(((l_e(Lateral)^2-h^2)*100)/(50+(10*sqrt(5)))) --> sqrt(((11^2-7^2)*100)/(50+(10*sqrt(5))))

Evaluating ... ...

l_c = 9.97504650665888

STEP 3: Convert Result to Output's Unit

9.97504650665888 Meter --> No Conversion Required

FINAL ANSWER

9.97504650665888 ≈ 9.975047 Meter <-- Chord Length of Star Pyramid

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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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 given Lateral Edge Length Formula

Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
l_c = sqrt(((l_e(Lateral)^2-h^2)*100)/(50+(10*sqrt(5))))

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 given Lateral Edge Length?

Chord Length of Star Pyramid given Lateral Edge Length calculator uses Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))) to calculate the Chord Length of Star Pyramid, Chord Length of Star Pyramid given Lateral Edge Length 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 calculated using the lateral edge length and height of the Star Pyramid. Chord Length of Star Pyramid is denoted by l_c symbol.

How to calculate Chord Length of Star Pyramid given Lateral Edge Length using this online calculator? To use this online calculator for Chord Length of Star Pyramid given Lateral Edge Length, enter Lateral Edge Length of Star Pyramid (l_e(Lateral)) & Height of Star Pyramid (h) and hit the calculate button. Here is how the Chord Length of Star Pyramid given Lateral Edge Length calculation can be explained with given input values -> 9.975047 = sqrt(((11^2-7^2)*100)/(50+(10*sqrt(5)))).

FAQ

What is Chord Length of Star Pyramid given Lateral Edge Length?

Chord Length of Star Pyramid given Lateral Edge Length 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 calculated using the lateral edge length and height of the Star Pyramid and is represented as l_c = sqrt(((l_e(Lateral)^2-h^2)*100)/(50+(10*sqrt(5)))) or Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). Lateral Edge Length of Star Pyramid is the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid & Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

How to calculate Chord Length of Star Pyramid given Lateral Edge Length?

Chord Length of Star Pyramid given Lateral Edge Length 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 calculated using the lateral edge length and height of the Star Pyramid is calculated using Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). To calculate Chord Length of Star Pyramid given Lateral Edge Length, you need Lateral Edge Length of Star Pyramid (l_e(Lateral)) & Height of Star Pyramid (h). With our tool, you need to enter the respective value for Lateral Edge Length of Star Pyramid & Height 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 Lateral Edge Length of Star Pyramid & Height 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]*Edge Length of Base of Star Pyramid
Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid
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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