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Mid Ridge Length of Great Icosahedron given Total Surface Area Formula

GoMid Ridge Length of Great Icosahedron Formula

GoMid Ridge Length of Great Icosahedron given Long Ridge Length Formula

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Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached. Check FAQs

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

l_Ridge(Mid) - Mid Ridge Length of Great Icosahedron?TSA - Total Surface Area of Great Icosahedron?

Mid Ridge Length of Great Icosahedron given Total Surface Area Example

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Here is how the Mid Ridge Length of Great Icosahedron given Total Surface Area equation looks like with Values.

Here is how the Mid Ridge Length of Great Icosahedron given Total Surface Area equation looks like with Units.

Here is how the Mid Ridge Length of Great Icosahedron given Total Surface Area equation looks like.

16.1293 = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

16.1293m = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

16.1293 = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

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Mid Ridge Length of Great Icosahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Mid Ridge Length of Great Icosahedron given Total Surface Area?

FIRST Step Consider the formula

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Substitute values of Variables

∴

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Prepare to Evaluate

∴

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Evaluate

∴

l Ridge(Mid) = 16.1292816638326m

LAST Step Rounding Answer

∴

l Ridge(Mid) = 16.1293m

Mid Ridge Length of Great Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Mid Ridge Length of Great Icosahedron

Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Mid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mid Ridge Length of Great Icosahedron

Total Surface Area of Great Icosahedron

Total Surface Area of Great Icosahedron is the total quantity of plane enclosed on the entire surface of the Great Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Icosahedron

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 Mid Ridge Length of Great Icosahedron

Go Mid Ridge Length of Great Icosahedron

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Mid Ridge Length of Great Icosahedron given Long Ridge Length

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Go Mid Ridge Length of Great Icosahedron given Short Ridge Length

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

Go Mid Ridge Length of Great Icosahedron given Circumsphere Radius

l Ridge(Mid) = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

How to Evaluate Mid Ridge Length of Great Icosahedron given Total Surface Area?

Mid Ridge Length of Great Icosahedron given Total Surface Area evaluator uses Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))) to evaluate the Mid Ridge Length of Great Icosahedron, Mid Ridge Length of Great Icosahedron given Total Surface Area formula is defined as the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached., calculated using total surface area. Mid Ridge Length of Great Icosahedron is denoted by l_Ridge(Mid) symbol.

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

FAQs on Mid Ridge Length of Great Icosahedron given Total Surface Area

What is the formula to find Mid Ridge Length of Great Icosahedron given Total Surface Area?

The formula of Mid Ridge Length of Great Icosahedron given Total Surface Area is expressed as Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))). Here is an example- 16.12928 = (1+sqrt(5))/2*sqrt(7200/(3*sqrt(3)*(5+(4*sqrt(5))))).

How to calculate Mid Ridge Length of Great Icosahedron given Total Surface Area?

With Total Surface Area of Great Icosahedron (TSA) we can find Mid Ridge Length of Great Icosahedron given Total Surface Area using the formula - Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mid Ridge Length of Great Icosahedron?

Here are the different ways to Calculate Mid Ridge Length of Great Icosahedron-

Mid Ridge Length of Great Icosahedron=(1+sqrt(5))/2*Edge Length of Great Icosahedron
Mid Ridge Length of Great Icosahedron=(1+sqrt(5))/2*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))
Mid Ridge Length of Great Icosahedron=(1+sqrt(5))/2*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

Can the Mid Ridge Length of Great Icosahedron given Total Surface Area be negative?

No, the Mid Ridge Length of Great Icosahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Mid Ridge Length of Great Icosahedron given Total Surface Area?

Mid Ridge Length of Great Icosahedron 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 Mid Ridge Length of Great Icosahedron given Total Surface Area can be measured.

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