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Perimeter of Decagon given Inradius Formula

GoPerimeter of Decagon Formula

GoPerimeter of Decagon given Diagonal across Five Sides Formula

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Perimeter of Decagon is the total distance around the edge of the Decagon. Check FAQs

P = 10 \cdot \frac{2 \cdot r i}{\sqrt{5 + (2 \cdot \sqrt{5})}}

P - Perimeter of Decagon?r_i - Inradius of Decagon?

Perimeter of Decagon given Inradius Example

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

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

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

97.4759 = 10 \cdot \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

97.4759m = 10 \cdot \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

97.4759 = 10 \cdot \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Perimeter of Decagon given Inradius Solution

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

FIRST Step Consider the formula

P = 10 \cdot \frac{2 \cdot r i}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

P = 10 \cdot \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

P = 10 \cdot \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

P = 97.4759088698719m

LAST Step Rounding Answer

∴

P = 97.4759m

Perimeter of Decagon given Inradius Formula Elements

Variables

Functions

Perimeter of Decagon

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

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Decagon

Inradius of Decagon

Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Decagon

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 Perimeter of Decagon

Go Perimeter of Decagon

P = 10 \cdot S

Go Perimeter of Decagon given Diagonal across Five Sides

P = 10 \cdot \frac{d 5}{1 + \sqrt{5}}

Go Perimeter of Decagon given Diagonal across Four Sides

P = 10 \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Perimeter of Decagon given Diagonal across Three Sides

P = 10 \cdot \frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

How to Evaluate Perimeter of Decagon given Inradius?

Perimeter of Decagon given Inradius evaluator uses Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))) to evaluate the Perimeter of Decagon, The Perimeter of Decagon given Inradius formula is defined as the distance of a boundary around the Decagon, calculated using the inradius. Perimeter of Decagon is denoted by P symbol.

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

FAQs on Perimeter of Decagon given Inradius

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

The formula of Perimeter of Decagon given Inradius is expressed as Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). Here is an example- 97.47591 = 10*(2*15)/sqrt(5+(2*sqrt(5))).

How to calculate Perimeter of Decagon given Inradius?

With Inradius of Decagon (r_i) we can find Perimeter of Decagon given Inradius using the formula - Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Decagon?

Here are the different ways to Calculate Perimeter of Decagon-

Perimeter of Decagon=10*Side of Decagon
Perimeter of Decagon=10*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Perimeter of Decagon=10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Can the Perimeter of Decagon given Inradius be negative?

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

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

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

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