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Total Surface Area of Rotunda is the total amount of two-dimensional space occupied by all the faces of the Rotunda. Check FAQs
TSA=12((53)+10(65+(295)))(2rc1+5)2
TSA - Total Surface Area of Rotunda?rc - Circumsphere Radius of Rotunda?

Total Surface Area of Rotunda given Circumsphere Radius Example

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With units
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Here is how the Total Surface Area of Rotunda given Circumsphere Radius equation looks like with Values.

Here is how the Total Surface Area of Rotunda given Circumsphere Radius equation looks like with Units.

Here is how the Total Surface Area of Rotunda given Circumsphere Radius equation looks like.

2185.183Edit=12((53)+10(65+(295)))(216Edit1+5)2
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Total Surface Area of Rotunda given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Rotunda given Circumsphere Radius?

FIRST Step Consider the formula
TSA=12((53)+10(65+(295)))(2rc1+5)2
Next Step Substitute values of Variables
TSA=12((53)+10(65+(295)))(216m1+5)2
Next Step Prepare to Evaluate
TSA=12((53)+10(65+(295)))(2161+5)2
Next Step Evaluate
TSA=2185.18296268285
LAST Step Rounding Answer
TSA=2185.183

Total Surface Area of Rotunda given Circumsphere Radius Formula Elements

Variables
Functions
Total Surface Area of Rotunda
Total Surface Area of Rotunda is the total amount of two-dimensional space occupied by all the faces of the Rotunda.
Symbol: TSA
Measurement: AreaUnit:
Note: Value should be greater than 0.
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: rc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Total Surface Area of Rotunda

​Go Total Surface Area of Rotunda
TSA=12((53)+10(65+(295)))le2
​Go Total Surface Area of Rotunda given Height
TSA=12((53)+10(65+(295)))(h1+25)2
​Go Total Surface Area of Rotunda given Volume
TSA=12((53)+10(65+(295)))(V112(45+(175)))23
​Go Total Surface Area of Rotunda given Surface to Volume Ratio
TSA=12((53)+10(65+(295)))(12((53)+10(65+(295)))RA/V112(45+(175)))2

How to Evaluate Total Surface Area of Rotunda given Circumsphere Radius?

Total Surface Area of Rotunda given Circumsphere Radius evaluator uses Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((2*Circumsphere Radius of Rotunda)/(1+sqrt(5)))^2 to evaluate the Total Surface Area of Rotunda, The Total Surface Area of Rotunda given Circumsphere Radius formula is defined as the total amount of two-dimensional space occupied by all the faces of the Rotunda and is calculated using the circumsphere radius of the Rotunda. Total Surface Area of Rotunda is denoted by TSA symbol.

How to evaluate Total Surface Area of Rotunda given Circumsphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Rotunda given Circumsphere Radius, enter Circumsphere Radius of Rotunda (rc) and hit the calculate button.

FAQs on Total Surface Area of Rotunda given Circumsphere Radius

What is the formula to find Total Surface Area of Rotunda given Circumsphere Radius?
The formula of Total Surface Area of Rotunda given Circumsphere Radius is expressed as Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((2*Circumsphere Radius of Rotunda)/(1+sqrt(5)))^2. Here is an example- 2185.183 = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((2*16)/(1+sqrt(5)))^2.
How to calculate Total Surface Area of Rotunda given Circumsphere Radius?
With Circumsphere Radius of Rotunda (rc) we can find Total Surface Area of Rotunda given Circumsphere Radius using the formula - Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((2*Circumsphere Radius of Rotunda)/(1+sqrt(5)))^2. This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Total Surface Area of Rotunda?
Here are the different ways to Calculate Total Surface Area of Rotunda-
  • Total Surface Area of Rotunda=1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*Edge Length of Rotunda^2OpenImg
  • Total Surface Area of Rotunda=1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*(Height of Rotunda/(sqrt(1+2/sqrt(5))))^2OpenImg
  • Total Surface Area of Rotunda=1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(2/3)OpenImg
Can the Total Surface Area of Rotunda given Circumsphere Radius be negative?
No, the Total Surface Area of Rotunda given Circumsphere Radius, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Rotunda given Circumsphere Radius?
Total Surface Area of Rotunda given Circumsphere Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Rotunda given Circumsphere Radius can be measured.
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