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Inradius of Decagon given Perimeter Formula

GoInradius of Decagon Formula

GoInradius of Decagon given Diagonal across Five Sides Formula

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

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

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

Inradius of Decagon given Perimeter Example

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

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

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

15.3884 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \frac{100}{10}

15.3884m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \frac{100m}{10}

15.3884 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \frac{100}{10}

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Inradius of Decagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \frac{100m}{10}

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \frac{100}{10}

Next Step Evaluate

∴

r i = 15.3884176858763m

LAST Step Rounding Answer

∴

r i = 15.3884m

Inradius of Decagon given Perimeter Formula Elements

Variables

Functions

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

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

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 Decagon

Go Inradius of Decagon

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

Go Inradius of Decagon given Diagonal across Five Sides

r i = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \frac{d 5}{1 + \sqrt{5}}

Go Inradius of Decagon given Diagonal across Four Sides

r i = \frac{d 4}{2}

Go Inradius of Decagon given Diagonal across Three Sides

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

How to Evaluate Inradius of Decagon given Perimeter?

Inradius of Decagon given Perimeter evaluator uses Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Perimeter of Decagon/10 to evaluate the Inradius of Decagon, The Inradius of Decagon given Perimeter formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using the perimeter. Inradius of Decagon is denoted by r_i symbol.

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

FAQs on Inradius of Decagon given Perimeter

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

The formula of Inradius of Decagon given Perimeter is expressed as Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Perimeter of Decagon/10. Here is an example- 15.38842 = sqrt(5+(2*sqrt(5)))/2*100/10.

How to calculate Inradius of Decagon given Perimeter?

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

What are the other ways to Calculate Inradius of Decagon?

Here are the different ways to Calculate Inradius of Decagon-

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

Can the Inradius of Decagon given Perimeter be negative?

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

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

Inradius of Decagon 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 Decagon given Perimeter can be measured.

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