Lateral Edge Length of Star Pyramid given Ridge Length Calculator

✖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 [l_c]			+10% -10%
✖Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid.ⓘ Ridge Length of Star Pyramid [l_e(Ridge)]			+10% -10%
✖Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.ⓘ Pentagonal Edge Length of Base of Star Pyramid [l_e(Pentagon)]			+10% -10%

✖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 given Ridge Length [l_e(Lateral)]

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Formula

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Lateral Edge Length of Star Pyramid given Ridge Length

Formula

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

Example

`"11.17063m"=sqrt((("10m")^2/100*(50+(10*sqrt(5))))+("8m")^2-(("4m")^2/100*(50+(10*sqrt(5)))))`

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Lateral Edge Length of Star Pyramid given Ridge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5)))))
l_e(Lateral) = sqrt((l_c^2/100*(50+(10*sqrt(5))))+l_e(Ridge)^2-(l_e(Pentagon)^2/100*(50+(10*sqrt(5)))))
This formula uses 1 Functions, 4 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

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.
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.
Ridge Length of Star Pyramid - (Measured in Meter) - Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid.
Pentagonal Edge Length of Base of Star Pyramid - (Measured in Meter) - Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

STEP 1: Convert Input(s) to Base Unit

Chord Length of Star Pyramid: 10 Meter --> 10 Meter No Conversion Required
Ridge Length of Star Pyramid: 8 Meter --> 8 Meter No Conversion Required
Pentagonal Edge Length of Base of Star Pyramid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Lateral) = sqrt((l_c^2/100*(50+(10*sqrt(5))))+l_e(Ridge)^2-(l_e(Pentagon)^2/100*(50+(10*sqrt(5))))) --> sqrt((10^2/100*(50+(10*sqrt(5))))+8^2-(4^2/100*(50+(10*sqrt(5)))))

Evaluating ... ...

l_e(Lateral) = 11.1706298394942

STEP 3: Convert Result to Output's Unit

11.1706298394942 Meter --> No Conversion Required

FINAL ANSWER

11.1706298394942 ≈ 11.17063 Meter <-- Lateral Edge Length of Star Pyramid

(Calculation completed in 00.004 seconds)

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< 2 Lateral Edge Length of Star Pyramid Calculators

Lateral Edge Length of Star Pyramid given Ridge Length

Go Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5)))))

Lateral Edge Length of Star Pyramid

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

Lateral Edge Length of Star Pyramid given Ridge Length Formula

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 Lateral Edge Length of Star Pyramid given Ridge Length?

Lateral Edge Length of Star Pyramid given Ridge Length calculator uses Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))) to calculate the Lateral Edge Length of Star Pyramid, Lateral Edge Length of Star Pyramid given Ridge Length formula is defined as the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid and is calculated using the chord length, pentagonal edge length of base and ridge length of the Star Pyramid. Lateral Edge Length of Star Pyramid is denoted by l_e(Lateral) symbol.

How to calculate Lateral Edge Length of Star Pyramid given Ridge Length using this online calculator? To use this online calculator for Lateral Edge Length of Star Pyramid given Ridge Length, enter Chord Length of Star Pyramid (l_c), Ridge Length of Star Pyramid (l_e(Ridge)) & Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)) and hit the calculate button. Here is how the Lateral Edge Length of Star Pyramid given Ridge Length calculation can be explained with given input values -> 11.17063 = sqrt((10^2/100*(50+(10*sqrt(5))))+8^2-(4^2/100*(50+(10*sqrt(5))))).

FAQ

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

Lateral Edge Length of Star Pyramid given Ridge Length formula is defined as the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid and is calculated using the chord length, pentagonal edge length of base and ridge length of the Star Pyramid and is represented as l_e(Lateral) = sqrt((l_c^2/100*(50+(10*sqrt(5))))+l_e(Ridge)^2-(l_e(Pentagon)^2/100*(50+(10*sqrt(5))))) or Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))). 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, Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid & Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

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

Lateral Edge Length of Star Pyramid given Ridge Length formula is defined as the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid and is calculated using the chord length, pentagonal edge length of base and ridge length of the Star Pyramid is calculated using Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))). To calculate Lateral Edge Length of Star Pyramid given Ridge Length, you need Chord Length of Star Pyramid (l_c), Ridge Length of Star Pyramid (l_e(Ridge)) & Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)). With our tool, you need to enter the respective value for Chord Length of Star Pyramid, Ridge Length of Star Pyramid & Pentagonal 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 Lateral Edge Length of Star Pyramid?

In this formula, Lateral Edge Length of Star Pyramid uses Chord Length of Star Pyramid, Ridge Length of Star Pyramid & Pentagonal Edge Length of Base of Star Pyramid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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