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Inradius of Dodecagon given Perimeter Formula

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GoInradius of Dodecagon given Height 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{2 + \sqrt{3}}{24} \cdot P

r_i - Inradius of Dodecagon?P - Perimeter of Dodecagon?

Inradius of Dodecagon given Perimeter Example

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Here is how the Inradius of Dodecagon given Perimeter equation looks like with Values.

Here is how the Inradius of Dodecagon given Perimeter equation looks like with Units.

Here is how the Inradius of Dodecagon given Perimeter equation looks like.

18.6603 = \frac{2 + \sqrt{3}}{24} \cdot 120

18.6603m = \frac{2 + \sqrt{3}}{24} \cdot 120m

18.6603 = \frac{2 + \sqrt{3}}{24} \cdot 120

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Inradius of Dodecagon given Perimeter Solution

Follow our step by step solution on how to calculate Inradius of Dodecagon given Perimeter?

FIRST Step Consider the formula

r i = \frac{2 + \sqrt{3}}{24} \cdot P

Next Step Substitute values of Variables

∴

r i = \frac{2 + \sqrt{3}}{24} \cdot 120m

Next Step Prepare to Evaluate

∴

r i = \frac{2 + \sqrt{3}}{24} \cdot 120

Next Step Evaluate

∴

r i = 18.6602540378444m

LAST Step Rounding Answer

∴

r i = 18.6603m

Inradius of Dodecagon given Perimeter Formula Elements

Variables

Functions

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

Perimeter of Dodecagon

Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Dodecagon

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 Inradius of Dodecagon

Go Inradius of Dodecagon

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

Go Inradius of Dodecagon given Height

r i = \frac{h}{2}

Go Inradius of Dodecagon given Width

r i = \frac{w}{2}

Other formulas in Inradius of Dodecagon category

Go Circumradius of Dodecagon

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot S

Go Circumradius of Dodecagon given Diagonal across Two Sides

r c = \frac{d 2}{1}

Go Circumradius of Dodecagon given Perimeter

r c = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot P

Go Circumradius of Dodecagon given Width

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{w}{2 + \sqrt{3}}

How to Evaluate Inradius of Dodecagon given Perimeter?

Inradius of Dodecagon given Perimeter evaluator uses Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon to evaluate the Inradius of Dodecagon, The Inradius of Dodecagon given Perimeter formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, and calculated using the perimeter of the Dodecagon. Inradius of Dodecagon is denoted by r_i symbol.

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

FAQs on Inradius of Dodecagon given Perimeter

What is the formula to find Inradius of Dodecagon given Perimeter?

The formula of Inradius of Dodecagon given Perimeter is expressed as Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon. Here is an example- 18.66025 = (2+sqrt(3))/24*120.

How to calculate Inradius of Dodecagon given Perimeter?

With Perimeter of Dodecagon (P) we can find Inradius of Dodecagon given Perimeter using the formula - Inradius of Dodecagon = (2+sqrt(3))/24*Perimeter of Dodecagon. This formula also uses Square Root (sqrt) function(s).

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*Side of Dodecagon
Inradius of Dodecagon=Height of Dodecagon/2
Inradius of Dodecagon=Width of Dodecagon/2

Can the Inradius of Dodecagon given Perimeter be negative?

No, the Inradius of Dodecagon given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Inradius of Dodecagon given Perimeter?

Inradius of Dodecagon given Perimeter 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 Perimeter can be measured.

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