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Inradius of Dodecagon given Diagonal across Five Sides Formula

GoInradius of Dodecagon given Diagonal across Two Sides Formula

GoInradius of Dodecagon given Diagonal across Three Sides Formula

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Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon. Check FAQs

r i = \frac{d 5}{2}

r_i - Inradius of Dodecagon?d₅ - Diagonal Across Five Sides of Dodecagon?

Inradius of Dodecagon given Diagonal across Five Sides Example

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Here is how the Inradius of Dodecagon given Diagonal across Five Sides equation looks like with Values.

Here is how the Inradius of Dodecagon given Diagonal across Five Sides equation looks like with Units.

Here is how the Inradius of Dodecagon given Diagonal across Five Sides equation looks like.

18.5 = \frac{37}{2}

18.5m = \frac{37m}{2}

18.5 = \frac{37}{2}

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Inradius of Dodecagon given Diagonal across Five Sides Solution

Follow our step by step solution on how to calculate Inradius of Dodecagon given Diagonal across Five Sides?

FIRST Step Consider the formula

r i = \frac{d 5}{2}

Next Step Substitute values of Variables

∴

r i = \frac{37m}{2}

Next Step Prepare to Evaluate

∴

r i = \frac{37}{2}

LAST Step Evaluate

∴

r i = 18.5m

Inradius of Dodecagon given Diagonal across Five Sides Formula Elements

Variables

Inradius of Dodecagon

Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Dodecagon

Diagonal Across Five Sides of Dodecagon

Diagonal across Five Sides of Dodecagon is a straight line joining two non-adjacent vertices across five sides of the Dodecagon.

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Five Sides of Dodecagon

Other Formulas to find Inradius of Dodecagon

Go Inradius of Dodecagon given Diagonal across Two Sides

r i = \frac{2 + \sqrt{3}}{2} \cdot \frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}}

Go Inradius of Dodecagon given Diagonal across Three Sides

r i = \frac{2 + \sqrt{3}}{2} \cdot \frac{d 3}{\sqrt{3} + 1}

Go Inradius of Dodecagon given Diagonal across Four Sides

r i = \frac{2 + \sqrt{3}}{2} \cdot \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Go Inradius of Dodecagon given Diagonal across Six Sides

r i = \frac{2 + \sqrt{3}}{2} \cdot \frac{d 6}{\sqrt{6} + \sqrt{2}}

How to Evaluate Inradius of Dodecagon given Diagonal across Five Sides?

Inradius of Dodecagon given Diagonal across Five Sides evaluator uses Inradius of Dodecagon = Diagonal Across Five Sides of Dodecagon/2 to evaluate the Inradius of Dodecagon, The Inradius of Dodecagon given Diagonal across Five Sides formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, calculated using diagonal across five sides. Inradius of Dodecagon is denoted by r_i symbol.

How to evaluate Inradius of Dodecagon given Diagonal across Five Sides using this online evaluator? To use this online evaluator for Inradius of Dodecagon given Diagonal across Five Sides, enter Diagonal Across Five Sides of Dodecagon (d₅) and hit the calculate button.

FAQs on Inradius of Dodecagon given Diagonal across Five Sides

What is the formula to find Inradius of Dodecagon given Diagonal across Five Sides?

The formula of Inradius of Dodecagon given Diagonal across Five Sides is expressed as Inradius of Dodecagon = Diagonal Across Five Sides of Dodecagon/2. Here is an example- 18.5 = 37/2.

How to calculate Inradius of Dodecagon given Diagonal across Five Sides?

With Diagonal Across Five Sides of Dodecagon (d₅) we can find Inradius of Dodecagon given Diagonal across Five Sides using the formula - Inradius of Dodecagon = Diagonal Across Five Sides of Dodecagon/2.

What are the other ways to Calculate Inradius of Dodecagon?

Here are the different ways to Calculate Inradius of Dodecagon-

Inradius of Dodecagon=(2+sqrt(3))/2*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Inradius of Dodecagon=(2+sqrt(3))/2*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Inradius of Dodecagon=(2+sqrt(3))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)

Can the Inradius of Dodecagon given Diagonal across Five Sides be negative?

No, the Inradius of Dodecagon given Diagonal across Five Sides, measured in Length cannot be negative.

Which unit is used to measure Inradius of Dodecagon given Diagonal across Five Sides?

Inradius of Dodecagon given Diagonal across Five Sides is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Dodecagon given Diagonal across Five Sides can be measured.

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