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

P - Perimeter of Hexadecagon?r_c - Circumradius of Hexadecagon?

Perimeter of Hexadecagon given Circumradius Example

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

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

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

81.1576 = 16 \cdot \frac{13}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

81.1576m = 16 \cdot \frac{13m}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

81.1576 = 16 \cdot \frac{13}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

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Perimeter of Hexadecagon given Circumradius Solution

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

FIRST Step Consider the formula

P = 16 \cdot \frac{r c}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

Next Step Substitute values of Variables

∴

P = 16 \cdot \frac{13m}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

Next Step Prepare to Evaluate

∴

P = 16 \cdot \frac{13}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

Next Step Evaluate

∴

P = 81.1575739587093m

LAST Step Rounding Answer

∴

P = 81.1576m

Perimeter of Hexadecagon given Circumradius 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

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 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 Circumradius?

Perimeter of Hexadecagon given Circumradius evaluator uses Perimeter of Hexadecagon = 16*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) to evaluate the Perimeter of Hexadecagon, The Perimeter of Hexadecagon given Circumradius formula is defined as the total distance around the edge of the Hexadecagon, calculated using circumradius. Perimeter of Hexadecagon is denoted by P symbol.

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

FAQs on Perimeter of Hexadecagon given Circumradius

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

The formula of Perimeter of Hexadecagon given Circumradius is expressed as Perimeter of Hexadecagon = 16*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)). Here is an example- 81.15757 = 16*13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)).

How to calculate Perimeter of Hexadecagon given Circumradius?

With Circumradius of Hexadecagon (r_c) we can find Perimeter of Hexadecagon given Circumradius using the formula - Perimeter of Hexadecagon = 16*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 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 Circumradius be negative?

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

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

Perimeter 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 Perimeter of Hexadecagon given Circumradius can be measured.

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