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Edge Length of Rotunda given Height Formula

GoEdge Length of Rotunda given Total Surface Area Formula

GoEdge Length of Rotunda given Volume Formula

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Edge Length of Rotunda is the length of any edge of the Rotunda. Check FAQs

l e = \frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

l_e - Edge Length of Rotunda?h - Height of Rotunda?

Edge Length of Rotunda given Height Example

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With units

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Here is how the Edge Length of Rotunda given Height equation looks like with Values.

Here is how the Edge Length of Rotunda given Height equation looks like with Units.

Here is how the Edge Length of Rotunda given Height equation looks like.

10.1716 = \frac{14}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

10.1716m = \frac{14m}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

10.1716 = \frac{14}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

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Edge Length of Rotunda given Height Solution

Follow our step by step solution on how to calculate Edge Length of Rotunda given Height?

FIRST Step Consider the formula

l e = \frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

Next Step Substitute values of Variables

∴

l e = \frac{14m}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

Next Step Prepare to Evaluate

∴

l e = \frac{14}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

Next Step Evaluate

∴

l e = 10.1715953920751m

LAST Step Rounding Answer

∴

l e = 10.1716m

Edge Length of Rotunda given Height Formula Elements

Variables

Functions

Edge Length of Rotunda

Edge Length of Rotunda is the length of any edge of the Rotunda.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rotunda

Height of Rotunda

Height of Rotunda is the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Rotunda

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 Edge Length of Rotunda

Go Edge Length of Rotunda given Total Surface Area

l e = \sqrt{\frac{TSA}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

Go Edge Length of Rotunda given Volume

l e = {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Edge Length of Rotunda given Circumsphere Radius

l e = \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Edge Length of Rotunda given Surface to Volume Ratio

l e = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{R A/V \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Edge Length of Rotunda given Height?

Edge Length of Rotunda given Height evaluator uses Edge Length of Rotunda = Height of Rotunda/(sqrt(1+2/sqrt(5))) to evaluate the Edge Length of Rotunda, The Edge Length of Rotunda given Height formula is defined as the length of any edge of the Rotunda and is calculated using the height of the Rotunda. Edge Length of Rotunda is denoted by l_e symbol.

How to evaluate Edge Length of Rotunda given Height using this online evaluator? To use this online evaluator for Edge Length of Rotunda given Height, enter Height of Rotunda (h) and hit the calculate button.

FAQs on Edge Length of Rotunda given Height

What is the formula to find Edge Length of Rotunda given Height?

The formula of Edge Length of Rotunda given Height is expressed as Edge Length of Rotunda = Height of Rotunda/(sqrt(1+2/sqrt(5))). Here is an example- 10.1716 = 14/(sqrt(1+2/sqrt(5))).

How to calculate Edge Length of Rotunda given Height?

With Height of Rotunda (h) we can find Edge Length of Rotunda given Height using the formula - Edge Length of Rotunda = Height of Rotunda/(sqrt(1+2/sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Rotunda?

Here are the different ways to Calculate Edge Length of Rotunda-

Edge Length of Rotunda=sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))
Edge Length of Rotunda=(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)
Edge Length of Rotunda=(2*Circumsphere Radius of Rotunda)/(1+sqrt(5))

Can the Edge Length of Rotunda given Height be negative?

No, the Edge Length of Rotunda given Height, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Rotunda given Height?

Edge Length of Rotunda given Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Rotunda given Height can be measured.

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