FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Rotunda given Circumsphere Radius Formula

GoTotal Surface Area of Rotunda Formula

GoTotal Surface Area of Rotunda given Height Formula

Fx Copy

LaTeX Copy

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

TSA - Total Surface Area of Rotunda?r_c - Circumsphere Radius of Rotunda?

Total Surface Area of Rotunda given Circumsphere Radius Example

With values

With units

Only example

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.

2185.183 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

2185.183m² = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

2185.183 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Total Surface Area of Rotunda given Circumsphere Radius

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 = \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}

Next Step Substitute values of Variables

∴

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

TSA = 2185.18296268285m²

LAST Step Rounding Answer

∴

TSA = 2185.183m²

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: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area of Rotunda

Go Total Surface Area of Rotunda

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

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 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 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 (r_c) 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 (r_c) 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 Function 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^2
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)

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.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit