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Circumsphere Radius of Rotunda Formula

GoCircumsphere Radius of Rotunda given Height Formula

GoCircumsphere Radius of Rotunda given Total Surface Area Formula

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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. Check FAQs

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

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

Circumsphere Radius of Rotunda Example

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

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

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

16.1803 = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot 10

16.1803m = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot 10m

16.1803 = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot 10

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Circumsphere Radius of Rotunda Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot 10

Next Step Evaluate

∴

r c = 16.1803398874989m

LAST Step Rounding Answer

∴

r c = 16.1803m

Circumsphere Radius of Rotunda Formula Elements

Variables

Functions

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

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

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 Circumsphere Radius of Rotunda

Go Circumsphere Radius of Rotunda given Height

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot \frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

Go Circumsphere Radius of Rotunda given Total Surface Area

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

Go Circumsphere Radius of Rotunda given Volume

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Circumsphere Radius of Rotunda given Surface to Volume Ratio

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot (\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 Circumsphere Radius of Rotunda?

Circumsphere Radius of Rotunda evaluator uses Circumsphere Radius of Rotunda = 1/2*(1+sqrt(5))*Edge Length of Rotunda to evaluate the Circumsphere Radius of Rotunda, The Circumsphere Radius of Rotunda formula is defined as the radius of the sphere that contains the Rotunda in such a way that all the vertices of the Rotunda are touching the sphere. Circumsphere Radius of Rotunda is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Rotunda

What is the formula to find Circumsphere Radius of Rotunda?

The formula of Circumsphere Radius of Rotunda is expressed as Circumsphere Radius of Rotunda = 1/2*(1+sqrt(5))*Edge Length of Rotunda. Here is an example- 16.18034 = 1/2*(1+sqrt(5))*10.

How to calculate Circumsphere Radius of Rotunda?

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

What are the other ways to Calculate Circumsphere Radius of Rotunda?

Here are the different ways to Calculate Circumsphere Radius of Rotunda-

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

Can the Circumsphere Radius of Rotunda be negative?

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

Which unit is used to measure Circumsphere Radius of Rotunda?

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

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