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Side of Hexadecagon given Inradius Formula

GoSide of Hexadecagon given Area Formula

GoSide of Hexadecagon given Height Formula

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Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon. Check FAQs

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

S - Side of Hexadecagon?r_i - Inradius of Hexadecagon?

Side of Hexadecagon given Inradius Example

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

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

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

4.7739 = \frac{2 \cdot 12}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}

4.7739m = \frac{2 \cdot 12m}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}

4.7739 = \frac{2 \cdot 12}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}

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Side of Hexadecagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

S = 4.77389681711179m

LAST Step Rounding Answer

∴

S = 4.7739m

Side of Hexadecagon given Inradius Formula Elements

Variables

Functions

Side of Hexadecagon

Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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 Side of Hexadecagon

Go Side of Hexadecagon given Area

S = \sqrt{\frac{A}{4 \cdot \cot (\frac{π}{16})}}

Go Side of Hexadecagon given Height

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

Go Side of Hexadecagon given Perimeter

S = \frac{P}{16}

Go Side of Hexadecagon given Circumradius

S = \frac{r c}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

How to Evaluate Side of Hexadecagon given Inradius?

Side of Hexadecagon given Inradius evaluator uses Side of Hexadecagon = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))) to evaluate the Side of Hexadecagon, Side of Hexadecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using inradius. Side of Hexadecagon is denoted by S symbol.

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

FAQs on Side of Hexadecagon given Inradius

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

The formula of Side of Hexadecagon given Inradius is expressed as Side of Hexadecagon = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))). Here is an example- 4.773897 = (2*12)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))).

How to calculate Side of Hexadecagon given Inradius?

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

What are the other ways to Calculate Side of Hexadecagon?

Here are the different ways to Calculate Side of Hexadecagon-

Side of Hexadecagon=sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
Side of Hexadecagon=Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16)
Side of Hexadecagon=Perimeter of Hexadecagon/16

Can the Side of Hexadecagon given Inradius be negative?

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

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

Side 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 Side of Hexadecagon given Inradius can be measured.

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