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Circumradius of Hexadecagon given Perimeter Formula

GoCircumradius of Hexadecagon given Diagonal across Eight Sides Formula

GoCircumradius of Hexadecagon Formula

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

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

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

Circumradius of Hexadecagon given Perimeter Example

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

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

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

12.8146 = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot \frac{80}{16}

12.8146m = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot \frac{80m}{16}

12.8146 = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot \frac{80}{16}

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Circumradius of Hexadecagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot \frac{80m}{16}

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot \frac{80}{16}

Next Step Evaluate

∴

r c = 12.8145772387075m

LAST Step Rounding Answer

∴

r c = 12.8146m

Circumradius of Hexadecagon given Perimeter Formula Elements

Variables

Functions

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

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

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 Circumradius of Hexadecagon

Go Circumradius of Hexadecagon given Diagonal across Eight Sides

r c = \frac{d 8}{2}

Go Circumradius of Hexadecagon

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

Go Circumradius of Hexadecagon given Diagonal across Seven Sides

r c = \frac{d 7 \cdot \sin (\frac{π}{16})}{\sin (\frac{7 \cdot π}{16})} \cdot \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}

Go Circumradius of Hexadecagon given Diagonal across Six Sides

r c = \frac{d 6 \cdot \sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{8})} \cdot \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}

How to Evaluate Circumradius of Hexadecagon given Perimeter?

Circumradius of Hexadecagon given Perimeter evaluator uses Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16 to evaluate the Circumradius of Hexadecagon, The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter. Circumradius of Hexadecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Hexadecagon given Perimeter

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

The formula of Circumradius of Hexadecagon given Perimeter is expressed as Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16. Here is an example- 12.81458 = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*80/16.

How to calculate Circumradius of Hexadecagon given Perimeter?

With Perimeter of Hexadecagon (P) we can find Circumradius of Hexadecagon given Perimeter using the formula - Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Hexadecagon?

Here are the different ways to Calculate Circumradius of Hexadecagon-

Circumradius of Hexadecagon=Diagonal across Eight Sides of Hexadecagon/2
Circumradius of Hexadecagon=sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon
Circumradius of Hexadecagon=(Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

Can the Circumradius of Hexadecagon given Perimeter be negative?

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

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

Circumradius of Hexadecagon given Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Hexadecagon given Perimeter can be measured.

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