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Edge Length of Icosidodecahedron given Pentagonal Face Area Formula

GoEdge Length of Icosidodecahedron given Total Surface Area Formula

GoEdge Length of Icosidodecahedron given Volume Formula

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

l e = \sqrt{\frac{4 \cdot A Pentagon}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

l_e - Edge Length of Icosidodecahedron?A_Pentagon - Pentagonal Face Area of Icosidodecahedron?

Edge Length of Icosidodecahedron given Pentagonal Face Area Example

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Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Area equation looks like with Values.

Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Area equation looks like with Units.

Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Area equation looks like.

9.9403 = \sqrt{\frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

9.9403m = \sqrt{\frac{4 \cdot 170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

9.9403 = \sqrt{\frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

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Edge Length of Icosidodecahedron given Pentagonal Face Area Solution

Follow our step by step solution on how to calculate Edge Length of Icosidodecahedron given Pentagonal Face Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{4 \cdot A Pentagon}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{4 \cdot 170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

l e = 9.94031105191025m

LAST Step Rounding Answer

∴

l e = 9.9403m

Edge Length of Icosidodecahedron given Pentagonal Face Area Formula Elements

Variables

Functions

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosidodecahedron

Pentagonal Face Area of Icosidodecahedron

Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Area of Icosidodecahedron

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 Icosidodecahedron

Go Edge Length of Icosidodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Edge Length of Icosidodecahedron given Volume

l e = {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Icosidodecahedron given Circumsphere Radius

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

Go Edge Length of Icosidodecahedron given Midsphere Radius

l e = \frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

How to Evaluate Edge Length of Icosidodecahedron given Pentagonal Face Area?

Edge Length of Icosidodecahedron given Pentagonal Face Area evaluator uses Edge Length of Icosidodecahedron = sqrt((4*Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5)))) to evaluate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Pentagonal Face Area formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the pentagonal face area of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Icosidodecahedron given Pentagonal Face Area using this online evaluator? To use this online evaluator for Edge Length of Icosidodecahedron given Pentagonal Face Area, enter Pentagonal Face Area of Icosidodecahedron (A_Pentagon) and hit the calculate button.

FAQs on Edge Length of Icosidodecahedron given Pentagonal Face Area

What is the formula to find Edge Length of Icosidodecahedron given Pentagonal Face Area?

The formula of Edge Length of Icosidodecahedron given Pentagonal Face Area is expressed as Edge Length of Icosidodecahedron = sqrt((4*Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5)))). Here is an example- 9.940311 = sqrt((4*170)/sqrt(25+(10*sqrt(5)))).

How to calculate Edge Length of Icosidodecahedron given Pentagonal Face Area?

With Pentagonal Face Area of Icosidodecahedron (A_Pentagon) we can find Edge Length of Icosidodecahedron given Pentagonal Face Area using the formula - Edge Length of Icosidodecahedron = sqrt((4*Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Icosidodecahedron?

Here are the different ways to Calculate Edge Length of Icosidodecahedron-

Edge Length of Icosidodecahedron=sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Edge Length of Icosidodecahedron=((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
Edge Length of Icosidodecahedron=(2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))

Can the Edge Length of Icosidodecahedron given Pentagonal Face Area be negative?

No, the Edge Length of Icosidodecahedron given Pentagonal Face Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Icosidodecahedron given Pentagonal Face Area?

Edge Length of Icosidodecahedron given Pentagonal Face 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 Icosidodecahedron given Pentagonal Face Area can be measured.

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