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Ridge Length of Star Pyramid Formula

GoRidge Length of Star Pyramid given Lateral Edge Length Formula

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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. Check FAQs

l e(Ridge) = \sqrt{(\frac{{l e(Pentagon)}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + h^{2}}

l_e(Ridge) - Ridge Length of Star Pyramid?l_e(Pentagon) - Pentagonal Edge Length of Base of Star Pyramid?h - Height of Star Pyramid?

Ridge Length of Star Pyramid Example

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Here is how the Ridge Length of Star Pyramid equation looks like with Values.

Here is how the Ridge Length of Star Pyramid equation looks like with Units.

Here is how the Ridge Length of Star Pyramid equation looks like.

7.7832 = \sqrt{(\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 7^{2}}

7.7832m = \sqrt{(\frac{{4m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {7m}^{2}}

7.7832 = \sqrt{(\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 7^{2}}

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Ridge Length of Star Pyramid Solution

Follow our step by step solution on how to calculate Ridge Length of Star Pyramid?

FIRST Step Consider the formula

l e(Ridge) = \sqrt{(\frac{{l e(Pentagon)}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + h^{2}}

Next Step Substitute values of Variables

∴

l e(Ridge) = \sqrt{(\frac{{4m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {7m}^{2}}

Next Step Prepare to Evaluate

∴

l e(Ridge) = \sqrt{(\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 7^{2}}

Next Step Evaluate

∴

l e(Ridge) = 7.78316829857865m

LAST Step Rounding Answer

∴

l e(Ridge) = 7.7832m

Ridge Length of Star Pyramid Formula Elements

Variables

Functions

Ridge Length of 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.

Symbol: l_e(Ridge)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Star Pyramid

Pentagonal Edge Length of Base of 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.

Symbol: l_e(Pentagon)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Edge Length of Base of Star Pyramid

Height of 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.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Star Pyramid

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.

Syntax: sqrt(Number)

Other Formulas to find Ridge Length of Star Pyramid

Go Ridge Length of Star Pyramid given Lateral Edge Length

l e(Ridge) = \sqrt{(\frac{{l e(Pentagon)}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {l e(Lateral)}^{2} - (\frac{{l c}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

How to Evaluate Ridge Length of Star Pyramid?

Ridge Length of Star Pyramid evaluator uses 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) to evaluate the Ridge Length of Star Pyramid, Ridge Length of Star Pyramid 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. Ridge Length of Star Pyramid is denoted by l_e(Ridge) symbol.

How to evaluate Ridge Length of Star Pyramid using this online evaluator? To use this online evaluator for Ridge Length of Star Pyramid, enter Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)) & Height of Star Pyramid (h) and hit the calculate button.

FAQs on Ridge Length of Star Pyramid

What is the formula to find Ridge Length of Star Pyramid?

The formula of Ridge Length of Star Pyramid is expressed as 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). Here is an example- 7.783168 = sqrt((4^2/100*(50+(10*sqrt(5))))+7^2).

How to calculate Ridge Length of Star Pyramid?

With Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)) & Height of Star Pyramid (h) we can find Ridge Length of Star Pyramid using the formula - 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). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Ridge Length of Star Pyramid?

Here are the different ways to Calculate Ridge Length of Star Pyramid-

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)))))

Can the Ridge Length of Star Pyramid be negative?

No, the Ridge Length of Star Pyramid, measured in Length cannot be negative.

Which unit is used to measure Ridge Length of Star Pyramid?

Ridge Length of Star Pyramid is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Ridge Length of Star Pyramid can be measured.

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Ridge Length of Star Pyramid Formula

​GoRidge Length of Star Pyramid given Lateral Edge Length Formula

Ridge Length of Star Pyramid Example

Ridge Length of Star Pyramid Solution

Ridge Length of Star Pyramid Formula Elements

Other Formulas to find Ridge Length of Star Pyramid

How to Evaluate Ridge Length of Star Pyramid?

FAQs on Ridge Length of Star Pyramid

Variable Name

GoRidge Length of Star Pyramid given Lateral Edge Length Formula