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Perimeter of Hexadecagon given Inradius Formula

GoPerimeter of Hexadecagon Formula

GoPerimeter of Hexadecagon given Diagonal across Two Sides Formula

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

P = 16 \cdot (\frac{2 \cdot r i}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

P - Perimeter of Hexadecagon?r_i - Inradius of Hexadecagon?

Perimeter of Hexadecagon given Inradius Example

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

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

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

76.3823 = 16 \cdot (\frac{2 \cdot 12}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

76.3823m = 16 \cdot (\frac{2 \cdot 12m}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

76.3823 = 16 \cdot (\frac{2 \cdot 12}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

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Perimeter of Hexadecagon given Inradius Solution

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

FIRST Step Consider the formula

P = 16 \cdot (\frac{2 \cdot r i}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

Next Step Substitute values of Variables

∴

P = 16 \cdot (\frac{2 \cdot 12m}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

Next Step Prepare to Evaluate

∴

P = 16 \cdot (\frac{2 \cdot 12}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}})

Next Step Evaluate

∴

P = 76.3823490737887m

LAST Step Rounding Answer

∴

P = 76.3823m

Perimeter of Hexadecagon given Inradius Formula Elements

Variables

Functions

Perimeter of Hexadecagon

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

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Hexadecagon

Inradius of Hexadecagon

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Hexadecagon

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 Hexadecagon

Go Perimeter of Hexadecagon

P = 16 \cdot S

Go Perimeter of Hexadecagon given Diagonal across Two Sides

P = 16 \cdot d 2 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{π}{8})}

Go Perimeter of Hexadecagon given Height

P = 16 \cdot h \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{7 \cdot π}{16})}

Go Perimeter of Hexadecagon given Diagonal across Eight Sides

P = 16 \cdot d 8 \cdot \sin (\frac{π}{16})

How to Evaluate Perimeter of Hexadecagon given Inradius?

Perimeter of Hexadecagon given Inradius evaluator uses Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))) to evaluate the Perimeter of Hexadecagon, The Perimeter of Hexadecagon given Inradius formula is defined the total distance around the edge of the Hexadecagon, calculated using inradius. Perimeter of Hexadecagon is denoted by P symbol.

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

FAQs on Perimeter of Hexadecagon given Inradius

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

The formula of Perimeter of Hexadecagon given Inradius is expressed as Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))). Here is an example- 76.38235 = 16*((2*12)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))).

How to calculate Perimeter of Hexadecagon given Inradius?

With Inradius of Hexadecagon (r_i) we can find Perimeter of Hexadecagon given Inradius using the formula - Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Perimeter of Hexadecagon?

Here are the different ways to Calculate Perimeter of Hexadecagon-

Perimeter of Hexadecagon=16*Side of Hexadecagon
Perimeter of Hexadecagon=16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Perimeter of Hexadecagon=16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))

Can the Perimeter of Hexadecagon given Inradius be negative?

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

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

Perimeter of Hexadecagon 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 Hexadecagon given Inradius can be measured.

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