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Side of Hexadecagon given Circumradius 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{r c}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

S - Side of Hexadecagon?r_c - Circumradius of Hexadecagon?

Side of Hexadecagon given Circumradius Example

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

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

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

5.0723 = \frac{13}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

5.0723m = \frac{13m}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

5.0723 = \frac{13}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

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Side of Hexadecagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{13m}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

Next Step Prepare to Evaluate

∴

S = \frac{13}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

Next Step Evaluate

∴

S = 5.07234837241933m

LAST Step Rounding Answer

∴

S = 5.0723m

Side of Hexadecagon given Circumradius 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

Circumradius of Hexadecagon

Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Inradius

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

How to Evaluate Side of Hexadecagon given Circumradius?

Side of Hexadecagon given Circumradius evaluator uses Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) to evaluate the Side of Hexadecagon, Side of Hexadecagon given Circumradius formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using circumradius. Side of Hexadecagon is denoted by S symbol.

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

FAQs on Side of Hexadecagon given Circumradius

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

The formula of Side of Hexadecagon given Circumradius is expressed as Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)). Here is an example- 5.072348 = 13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)).

How to calculate Side of Hexadecagon given Circumradius?

With Circumradius of Hexadecagon (r_c) we can find Side of Hexadecagon given Circumradius using the formula - Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/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 Circumradius be negative?

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

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

Side of Hexadecagon given Circumradius 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 Circumradius can be measured.

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