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Edge Length of Rotunda given Circumsphere Radius Formula

GoEdge Length of Rotunda given Height Formula

GoEdge Length of Rotunda given Total Surface Area Formula

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

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

l_e - Edge Length of Rotunda?r_c - Circumsphere Radius of Rotunda?

Edge Length of Rotunda given Circumsphere Radius Example

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

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

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

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

9.8885m = \frac{2 \cdot 16m}{1 + \sqrt{5}}

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

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Edge Length of Rotunda given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

l e = 9.88854381999832m

LAST Step Rounding Answer

∴

l e = 9.8885m

Edge Length of Rotunda given Circumsphere Radius 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

Circumsphere Radius of Rotunda

Circumsphere Radius of Rotunda is the radius of the sphere that contains the Rotunda in such a way that all the vertices of the Rotunda are touching the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius 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 Height

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

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 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 Circumsphere Radius?

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

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

FAQs on Edge Length of Rotunda given Circumsphere Radius

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

The formula of Edge Length of Rotunda given Circumsphere Radius is expressed as Edge Length of Rotunda = (2*Circumsphere Radius of Rotunda)/(1+sqrt(5)). Here is an example- 9.888544 = (2*16)/(1+sqrt(5)).

How to calculate Edge Length of Rotunda given Circumsphere Radius?

With Circumsphere Radius of Rotunda (r_c) we can find Edge Length of Rotunda given Circumsphere Radius using the formula - Edge Length of Rotunda = (2*Circumsphere Radius of Rotunda)/(1+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=Height of Rotunda/(sqrt(1+2/sqrt(5)))
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)

Can the Edge Length of Rotunda given Circumsphere Radius be negative?

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

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

Edge Length of Rotunda given Circumsphere Radius 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 Circumsphere Radius can be measured.

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