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Circumradius of Nonagon given Height Formula

GoCircumradius of Nonagon 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{h}{1 + \cos (\frac{π}{9})}

r_c - Circumradius of Nonagon?h - Height of Nonagon?π - Archimedes' constant?

Circumradius of Nonagon given Height Example

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

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

Here is how the Circumradius of Nonagon given Height equation looks like.

11.342 = \frac{22}{1 + \cos (\frac{3.1416}{9})}

11.342m = \frac{22m}{1 + \cos (\frac{3.1416}{9})}

11.342 = \frac{22}{1 + \cos (\frac{3.1416}{9})}

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Circumradius of Nonagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{22m}{1 + \cos (\frac{π}{9})}

Next Step Substitute values of Constants

∴

r c = \frac{22m}{1 + \cos (\frac{3.1416}{9})}

Next Step Prepare to Evaluate

∴

r c = \frac{22}{1 + \cos (\frac{3.1416}{9})}

Next Step Evaluate

∴

r c = 11.3420032453834m

LAST Step Rounding Answer

∴

r c = 11.342m

Circumradius of Nonagon given Height 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

Height of Nonagon

Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Circumradius of Nonagon

Go Circumradius of Nonagon

r c = \frac{S}{2 \cdot \sin (\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 given Height?

Circumradius of Nonagon given Height evaluator uses Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9)) to evaluate the Circumradius of Nonagon, Circumradius of Nonagon given Height formula is defined as the length of the straight line connecting the circumcenter and any point on the circle that touches all vertices of the Nonagon, calculated using height. Circumradius of Nonagon is denoted by r_c symbol.

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

FAQs on Circumradius of Nonagon given Height

What is the formula to find Circumradius of Nonagon given Height?

The formula of Circumradius of Nonagon given Height is expressed as Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9)). Here is an example- 11.342 = 22/(1+cos(pi/9)).

How to calculate Circumradius of Nonagon given Height?

With Height of Nonagon (h) we can find Circumradius of Nonagon given Height using the formula - Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9)). This formula also uses Archimedes' constant and Cosine (cos) 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=Side of Nonagon/(2*sin(pi/9))

Can the Circumradius of Nonagon given Height be negative?

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

Which unit is used to measure Circumradius of Nonagon given Height?

Circumradius of Nonagon given Height 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 given Height can be measured.

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