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Total Surface Area of Rotunda Formula

GoTotal Surface Area of Rotunda given Height Formula

GoTotal Surface Area of Rotunda given Volume Formula

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

TSA - Total Surface Area of Rotunda?l_e - Edge Length of Rotunda?

Total Surface Area of Rotunda Example

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Here is how the Total Surface Area of Rotunda equation looks like with Values.

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

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

2234.72 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot 10^{2}

2234.72m² = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {10m}^{2}

2234.72 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot 10^{2}

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Total Surface Area of Rotunda Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 2234.72002653941m²

LAST Step Rounding Answer

∴

TSA = 2234.72m²

Total Surface Area of Rotunda 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: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area of Rotunda

Go Total Surface Area of Rotunda given Height

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

Go Total Surface Area of Rotunda given Volume

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Go Total Surface Area of Rotunda given Circumsphere Radius

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

Go Total Surface Area of Rotunda given Surface to Volume Ratio

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

How to Evaluate Total Surface Area of Rotunda?

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

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

FAQs on Total Surface Area of Rotunda

What is the formula to find Total Surface Area of Rotunda?

The formula of Total Surface Area of Rotunda is expressed as Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*Edge Length of Rotunda^2. Here is an example- 2234.72 = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*10^2.

How to calculate Total Surface Area of Rotunda?

With Edge Length of Rotunda (l_e) we can find Total Surface Area of Rotunda using the formula - Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*Edge Length of Rotunda^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)))))*(Height of Rotunda/(sqrt(1+2/sqrt(5))))^2
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)
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

Can the Total Surface Area of Rotunda be negative?

No, the Total Surface Area of Rotunda, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Rotunda?

Total Surface Area of Rotunda 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 can be measured.

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