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Side of Hexadecagon given Area Formula

GoSide of Hexadecagon given Height Formula

GoSide of Hexadecagon given Perimeter Formula

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

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

S - Side of Hexadecagon?A - Area of Hexadecagon?π - Archimedes' constant?

Side of Hexadecagon given Area Example

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

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

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

4.9864 = \sqrt{\frac{500}{4 \cdot \cot (\frac{3.1416}{16})}}

4.9864m = \sqrt{\frac{500m²}{4 \cdot \cot (\frac{3.1416}{16})}}

4.9864 = \sqrt{\frac{500}{4 \cdot \cot (\frac{3.1416}{16})}}

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Side of Hexadecagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \sqrt{\frac{500m²}{4 \cdot \cot (\frac{π}{16})}}

Next Step Substitute values of Constants

∴

S = \sqrt{\frac{500m²}{4 \cdot \cot (\frac{3.1416}{16})}}

Next Step Prepare to Evaluate

∴

S = \sqrt{\frac{500}{4 \cdot \cot (\frac{3.1416}{16})}}

Next Step Evaluate

∴

S = 4.98638605830488m

LAST Step Rounding Answer

∴

S = 4.9864m

Side of Hexadecagon given Area Formula Elements

Variables

Constants

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

Area of Hexadecagon

Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Hexadecagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

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 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}}}

Go Side of Hexadecagon given Inradius

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

How to Evaluate Side of Hexadecagon given Area?

Side of Hexadecagon given Area evaluator uses Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16))) to evaluate the Side of Hexadecagon, Side of Hexadecagon given Area formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using the area. Side of Hexadecagon is denoted by S symbol.

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

FAQs on Side of Hexadecagon given Area

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

The formula of Side of Hexadecagon given Area is expressed as Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16))). Here is an example- 4.986386 = sqrt((500)/(4*cot(pi/16))).

How to calculate Side of Hexadecagon given Area?

With Area of Hexadecagon (A) we can find Side of Hexadecagon given Area using the formula - Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16))). This formula also uses Archimedes' constant and , Cotangent (cot), 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=Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16)
Side of Hexadecagon=Perimeter of Hexadecagon/16
Side of Hexadecagon=Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

Can the Side of Hexadecagon given Area be negative?

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

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

Side of Hexadecagon given Area 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 Area can be measured.

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