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Circumradius of Nonagon Formula

GoCircumradius of Nonagon given Height Formula

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The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon. Check FAQs

r c = \frac{S}{2 \cdot \sin (\frac{π}{9})}

r_c - Circumradius of Nonagon?S - Side of Nonagon?π - Archimedes' constant?

Circumradius of Nonagon Example

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Here is how the Circumradius of Nonagon equation looks like with Values.

Here is how the Circumradius of Nonagon equation looks like with Units.

Here is how the Circumradius of Nonagon equation looks like.

11.6952 = \frac{8}{2 \cdot \sin (\frac{3.1416}{9})}

11.6952m = \frac{8m}{2 \cdot \sin (\frac{3.1416}{9})}

11.6952 = \frac{8}{2 \cdot \sin (\frac{3.1416}{9})}

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Circumradius of Nonagon Solution

Follow our step by step solution on how to calculate Circumradius of Nonagon?

FIRST Step Consider the formula

r c = \frac{S}{2 \cdot \sin (\frac{π}{9})}

Next Step Substitute values of Variables

∴

r c = \frac{8m}{2 \cdot \sin (\frac{π}{9})}

Next Step Substitute values of Constants

∴

r c = \frac{8m}{2 \cdot \sin (\frac{3.1416}{9})}

Next Step Prepare to Evaluate

∴

r c = \frac{8}{2 \cdot \sin (\frac{3.1416}{9})}

Next Step Evaluate

∴

r c = 11.6952176006524m

LAST Step Rounding Answer

∴

r c = 11.6952m

Circumradius of Nonagon Formula Elements

Variables

Constants

Functions

Circumradius of Nonagon

The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Nonagon

Side of Nonagon

The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Nonagon

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Circumradius of Nonagon

Go Circumradius of Nonagon given Height

r c = \frac{h}{1 + \cos (\frac{π}{9})}

Other formulas in Circumradius of Nonagon category

Go Inradius of Nonagon

r i = \frac{S}{2 \cdot \tan (\frac{π}{9})}

Go Inradius of Nonagon given Diagonal across Two Sides

r i = \frac{(\frac{d 2}{2 \cdot (\sin (2 \cdot \frac{π}{9}))}) \cdot \sin (\frac{π}{9})}{\tan (\frac{π}{9})}

Go Inradius of Nonagon given Height

r i = \frac{h}{1 + \sec (\frac{π}{9})}

How to Evaluate Circumradius of Nonagon?

Circumradius of Nonagon evaluator uses Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9)) to evaluate the Circumradius of Nonagon, Circumradius of Nonagon formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon. Circumradius of Nonagon is denoted by r_c symbol.

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

FAQs on Circumradius of Nonagon

What is the formula to find Circumradius of Nonagon?

The formula of Circumradius of Nonagon is expressed as Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9)). Here is an example- 11.69522 = 8/(2*sin(pi/9)).

How to calculate Circumradius of Nonagon?

With Side of Nonagon (S) we can find Circumradius of Nonagon using the formula - Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9)). This formula also uses Archimedes' constant and Sine function(s).

What are the other ways to Calculate Circumradius of Nonagon?

Here are the different ways to Calculate Circumradius of Nonagon-

Circumradius of Nonagon=Height of Nonagon/(1+cos(pi/9))

Can the Circumradius of Nonagon be negative?

No, the Circumradius of Nonagon, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Nonagon?

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

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