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Insphere Radius of Dodecahedron given Perimeter Formula

GoInsphere Radius of Dodecahedron Formula

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Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{P}{60}

r_i - Insphere Radius of Dodecahedron?P - Perimeter of Dodecahedron?

Insphere Radius of Dodecahedron given Perimeter Example

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Here is how the Insphere Radius of Dodecahedron given Perimeter equation looks like with Values.

Here is how the Insphere Radius of Dodecahedron given Perimeter equation looks like with Units.

Here is how the Insphere Radius of Dodecahedron given Perimeter equation looks like.

11.1352 = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{300}{60}

11.1352m = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{300m}{60}

11.1352 = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{300}{60}

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Insphere Radius of Dodecahedron given Perimeter Solution

Follow our step by step solution on how to calculate Insphere Radius of Dodecahedron given Perimeter?

FIRST Step Consider the formula

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{P}{60}

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{300m}{60}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{300}{60}

Next Step Evaluate

∴

r i = 11.1351636441161m

LAST Step Rounding Answer

∴

r i = 11.1352m

Insphere Radius of Dodecahedron given Perimeter Formula Elements

Variables

Functions

Insphere Radius of Dodecahedron

Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Dodecahedron

Perimeter of Dodecahedron

Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Dodecahedron

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 Insphere Radius of Dodecahedron

Go Insphere Radius of Dodecahedron

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{l e}{2}

Other formulas in Insphere Radius of Dodecahedron category

Go Circumsphere Radius of Dodecahedron

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{l e}{4}

Go Circumsphere Radius of Dodecahedron given Total Surface Area

r c = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Midsphere Radius of Dodecahedron

r m = \frac{3 + \sqrt{5}}{4} \cdot l e

Go Midsphere Radius of Dodecahedron given Lateral Surface Area

r m = \frac{3 + \sqrt{5}}{4} \cdot \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Insphere Radius of Dodecahedron given Perimeter?

Insphere Radius of Dodecahedron given Perimeter evaluator uses Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Perimeter of Dodecahedron/60 to evaluate the Insphere Radius of Dodecahedron, The Insphere Radius of Dodecahedron given Perimeter formula is defined as the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere, and calculated using the perimeter of the Dodecahedron. Insphere Radius of Dodecahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Dodecahedron given Perimeter using this online evaluator? To use this online evaluator for Insphere Radius of Dodecahedron given Perimeter, enter Perimeter of Dodecahedron (P) and hit the calculate button.

FAQs on Insphere Radius of Dodecahedron given Perimeter

What is the formula to find Insphere Radius of Dodecahedron given Perimeter?

The formula of Insphere Radius of Dodecahedron given Perimeter is expressed as Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Perimeter of Dodecahedron/60. Here is an example- 11.13516 = sqrt((25+(11*sqrt(5)))/10)*300/60.

How to calculate Insphere Radius of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Insphere Radius of Dodecahedron given Perimeter using the formula - Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Perimeter of Dodecahedron/60. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Dodecahedron?

Here are the different ways to Calculate Insphere Radius of Dodecahedron-

Insphere Radius of Dodecahedron=sqrt((25+(11*sqrt(5)))/10)*Edge Length of Dodecahedron/2

Can the Insphere Radius of Dodecahedron given Perimeter be negative?

No, the Insphere Radius of Dodecahedron given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Dodecahedron given Perimeter?

Insphere Radius of Dodecahedron given Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Dodecahedron given Perimeter can be measured.

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