Ridge Length of Star Pyramid given Lateral Edge Length Calculator

✖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 [l_e(Lateral)]			+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 [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 given Lateral Edge Length [l_e(Ridge)]

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Ridge Length of Star Pyramid given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Pentagonal Edge Length of Base of Star Pyramid: 4 Meter --> 4 Meter No Conversion Required
Lateral Edge Length of Star Pyramid: 11 Meter --> 11 Meter No Conversion Required
Chord Length of Star Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Ridge) = sqrt((l_e(Pentagon)^2/100*(50+(10*sqrt(5))))+l_e(Lateral)^2-(l_c^2/100*(50+(10*sqrt(5))))) --> sqrt((4^2/100*(50+(10*sqrt(5))))+11^2-(10^2/100*(50+(10*sqrt(5)))))

Evaluating ... ...

l_e(Ridge) = 7.75996320796702

STEP 3: Convert Result to Output's Unit

7.75996320796702 Meter --> No Conversion Required

FINAL ANSWER

7.75996320796702 ≈ 7.759963 Meter <-- Ridge Length of Star Pyramid

(Calculation completed in 00.004 seconds)

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< Ridge Length of Star Pyramid Calculators

Ridge Length of Star Pyramid given Lateral Edge Length

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

Ridge Length of Star Pyramid

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

Ridge Length of Star Pyramid given Lateral Edge Length Formula

LaTeX Go

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 Ridge Length of Star Pyramid given Lateral Edge Length?

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

How to calculate Ridge Length of Star Pyramid given Lateral Edge Length using this online calculator? To use this online calculator for Ridge Length of Star Pyramid given Lateral Edge Length, enter Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)), Lateral Edge Length of Star Pyramid (l_e(Lateral)) & Chord Length of Star Pyramid (l_c) and hit the calculate button. Here is how the Ridge Length of Star Pyramid given Lateral Edge Length calculation can be explained with given input values -> 7.759963 = sqrt((4^2/100*(50+(10*sqrt(5))))+11^2-(10^2/100*(50+(10*sqrt(5))))).

FAQ

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

Ridge Length of Star Pyramid given Lateral Edge Length formula is defined as the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid and is calculated using the pentagonal edge length of base, lateral edge length, and chord length of the Star Pyramid and is represented as l_e(Ridge) = sqrt((l_e(Pentagon)^2/100*(50+(10*sqrt(5))))+l_e(Lateral)^2-(l_c^2/100*(50+(10*sqrt(5))))) or Ridge Length of Star Pyramid = sqrt((Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))+Lateral Edge Length of Star Pyramid^2-(Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))). 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, 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 is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

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

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

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

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

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