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Edge Length of Rotunda given Total Surface Area Formula

GoEdge Length of Rotunda given Height Formula

GoEdge Length of Rotunda given Volume Formula

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

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

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

Edge Length of Rotunda given Total Surface Area Example

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

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

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

9.922 = \sqrt{\frac{2200}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

9.922m = \sqrt{\frac{2200m²}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

9.922 = \sqrt{\frac{2200}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

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Edge Length of Rotunda given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{2200m²}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{2200}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

Next Step Evaluate

∴

l e = 9.92201273064546m

LAST Step Rounding Answer

∴

l e = 9.922m

Edge Length of Rotunda given Total Surface Area 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

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

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 Volume

l e = {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Edge Length of Rotunda given Circumsphere Radius

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

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 Total Surface Area?

Edge Length of Rotunda given Total Surface Area evaluator uses Edge Length of Rotunda = sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))) to evaluate the Edge Length of Rotunda, The Edge Length of Rotunda given Total Surface Area formula is defined as the length of any edge of the Rotunda and is calculated using the total surface area of the Rotunda. Edge Length of Rotunda is denoted by l_e symbol.

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

FAQs on Edge Length of Rotunda given Total Surface Area

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

The formula of Edge Length of Rotunda given Total Surface Area is expressed as Edge Length of Rotunda = sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))). Here is an example- 9.922013 = sqrt(2200/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))).

How to calculate Edge Length of Rotunda given Total Surface Area?

With Total Surface Area of Rotunda (TSA) we can find Edge Length of Rotunda given Total Surface Area using the formula - Edge Length of Rotunda = sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*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=(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)
Edge Length of Rotunda=(2*Circumsphere Radius of Rotunda)/(1+sqrt(5))

Can the Edge Length of Rotunda given Total Surface Area be negative?

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

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

Edge Length of Rotunda given Total Surface Area 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 Total Surface Area can be measured.

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