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Circumradius of Hexadecagon given Diagonal across Eight Sides Formula

GoCircumradius of Hexadecagon Formula

GoCircumradius of Hexadecagon given Diagonal across Seven Sides 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 = \frac{d 8}{2}

r_c - Circumradius of Hexadecagon?d₈ - Diagonal across Eight Sides of Hexadecagon?

Circumradius of Hexadecagon given Diagonal across Eight Sides Example

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Here is how the Circumradius of Hexadecagon given Diagonal across Eight Sides equation looks like with Units.

Here is how the Circumradius of Hexadecagon given Diagonal across Eight Sides equation looks like.

13 = \frac{26}{2}

13m = \frac{26m}{2}

13 = \frac{26}{2}

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Circumradius of Hexadecagon given Diagonal across Eight Sides Solution

Follow our step by step solution on how to calculate Circumradius of Hexadecagon given Diagonal across Eight Sides?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{26m}{2}

Next Step Prepare to Evaluate

∴

r c = \frac{26}{2}

LAST Step Evaluate

∴

r c = 13m

Circumradius of Hexadecagon given Diagonal across Eight Sides Formula Elements

Variables

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

Diagonal across Eight Sides of Hexadecagon

Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.

Symbol: d₈

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Eight Sides of Hexadecagon

Other Formulas to find Circumradius of Hexadecagon

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}}

Go Circumradius of Hexadecagon given Diagonal across Five Sides

r c = \frac{d 5 \cdot \sin (\frac{π}{16})}{\sin (\frac{5 \cdot π}{16})} \cdot \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}

How to Evaluate Circumradius of Hexadecagon given Diagonal across Eight Sides?

Circumradius of Hexadecagon given Diagonal across Eight Sides evaluator uses Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2 to evaluate the Circumradius of Hexadecagon, The Circumradius of Hexadecagon given Diagonal across Eight Sides formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Hexadecagon, calculated using the diagonal across eight sides. Circumradius of Hexadecagon is denoted by r_c symbol.

How to evaluate Circumradius of Hexadecagon given Diagonal across Eight Sides using this online evaluator? To use this online evaluator for Circumradius of Hexadecagon given Diagonal across Eight Sides, enter Diagonal across Eight Sides of Hexadecagon (d₈) and hit the calculate button.

FAQs on Circumradius of Hexadecagon given Diagonal across Eight Sides

What is the formula to find Circumradius of Hexadecagon given Diagonal across Eight Sides?

The formula of Circumradius of Hexadecagon given Diagonal across Eight Sides is expressed as Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2. Here is an example- 13 = 26/2.

How to calculate Circumradius of Hexadecagon given Diagonal across Eight Sides?

With Diagonal across Eight Sides of Hexadecagon (d₈) we can find Circumradius of Hexadecagon given Diagonal across Eight Sides using the formula - Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2.

What are the other ways to Calculate Circumradius of Hexadecagon?

Here are the different ways to Calculate Circumradius of Hexadecagon-

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)
Circumradius of Hexadecagon=(Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

Can the Circumradius of Hexadecagon given Diagonal across Eight Sides be negative?

No, the Circumradius of Hexadecagon given Diagonal across Eight Sides, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Hexadecagon given Diagonal across Eight Sides?

Circumradius of Hexadecagon given Diagonal across Eight Sides 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 Diagonal across Eight Sides can be measured.

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