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Height of Nonagon given Side Formula

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GoHeight of Nonagon given Area Formula

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

h = (\frac{1 + \cos (\frac{π}{9})}{2 \cdot \sin (\frac{π}{9})}) \cdot S

h - Height of Nonagon?S - Side of Nonagon?π - Archimedes' constant?

Height of Nonagon given Side Example

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

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

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

22.6851 = (\frac{1 + \cos (\frac{3.1416}{9})}{2 \cdot \sin (\frac{3.1416}{9})}) \cdot 8

22.6851m = (\frac{1 + \cos (\frac{3.1416}{9})}{2 \cdot \sin (\frac{3.1416}{9})}) \cdot 8m

22.6851 = (\frac{1 + \cos (\frac{3.1416}{9})}{2 \cdot \sin (\frac{3.1416}{9})}) \cdot 8

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Height of Nonagon given Side Solution

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

FIRST Step Consider the formula

h = (\frac{1 + \cos (\frac{π}{9})}{2 \cdot \sin (\frac{π}{9})}) \cdot S

Next Step Substitute values of Variables

∴

h = (\frac{1 + \cos (\frac{π}{9})}{2 \cdot \sin (\frac{π}{9})}) \cdot 8m

Next Step Substitute values of Constants

∴

h = (\frac{1 + \cos (\frac{3.1416}{9})}{2 \cdot \sin (\frac{3.1416}{9})}) \cdot 8m

Next Step Prepare to Evaluate

∴

h = (\frac{1 + \cos (\frac{3.1416}{9})}{2 \cdot \sin (\frac{3.1416}{9})}) \cdot 8

Next Step Evaluate

∴

h = 22.6851272784708m

LAST Step Rounding Answer

∴

h = 22.6851m

Height of Nonagon given Side Formula Elements

Variables

Constants

Functions

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

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)

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 Height of Nonagon

Go Height of Nonagon

h = r c + r i

Go Height of Nonagon given Area

h = (\frac{1 + \cos (\frac{π}{9})}{3 \cdot \sin (\frac{π}{9})}) \cdot \sqrt{A \cdot (\tan (\frac{π}{9}))}

How to Evaluate Height of Nonagon given Side?

Height of Nonagon given Side evaluator uses Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon to evaluate the Height of Nonagon, Height of Nonagon given Side formula is defined as a perpendicular line connecting apex and a point on opposite side of apex of Nonagon, calculated using side. Height of Nonagon is denoted by h symbol.

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

FAQs on Height of Nonagon given Side

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

The formula of Height of Nonagon given Side is expressed as Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon. Here is an example- 22.68513 = ((1+cos(pi/9))/(2*sin(pi/9)))*8.

How to calculate Height of Nonagon given Side?

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

What are the other ways to Calculate Height of Nonagon?

Here are the different ways to Calculate Height of Nonagon-

Height of Nonagon=Circumradius of Nonagon+Inradius of Nonagon
Height of Nonagon=((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))

Can the Height of Nonagon given Side be negative?

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

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

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

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