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Height of Nonagon given Area Formula

GoHeight of Nonagon Formula

GoHeight of Nonagon given Side 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})}{3 \cdot \sin (\frac{π}{9})}) \cdot \sqrt{A \cdot (\tan (\frac{π}{9}))}

h - Height of Nonagon?A - Area of Nonagon?π - Archimedes' constant?

Height of Nonagon given Area Example

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

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

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

22.6669 = (\frac{1 + \cos (\frac{3.1416}{9})}{3 \cdot \sin (\frac{3.1416}{9})}) \cdot \sqrt{395 \cdot (\tan (\frac{3.1416}{9}))}

22.6669m = (\frac{1 + \cos (\frac{3.1416}{9})}{3 \cdot \sin (\frac{3.1416}{9})}) \cdot \sqrt{395m² \cdot (\tan (\frac{3.1416}{9}))}

22.6669 = (\frac{1 + \cos (\frac{3.1416}{9})}{3 \cdot \sin (\frac{3.1416}{9})}) \cdot \sqrt{395 \cdot (\tan (\frac{3.1416}{9}))}

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Height of Nonagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (\frac{1 + \cos (\frac{π}{9})}{3 \cdot \sin (\frac{π}{9})}) \cdot \sqrt{395m² \cdot (\tan (\frac{π}{9}))}

Next Step Substitute values of Constants

∴

h = (\frac{1 + \cos (\frac{3.1416}{9})}{3 \cdot \sin (\frac{3.1416}{9})}) \cdot \sqrt{395m² \cdot (\tan (\frac{3.1416}{9}))}

Next Step Prepare to Evaluate

∴

h = (\frac{1 + \cos (\frac{3.1416}{9})}{3 \cdot \sin (\frac{3.1416}{9})}) \cdot \sqrt{395 \cdot (\tan (\frac{3.1416}{9}))}

Next Step Evaluate

∴

h = 22.6668649011752m

LAST Step Rounding Answer

∴

h = 22.6669m

Height of Nonagon given Area 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

Area of Nonagon

The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 Height of Nonagon

Go Height of Nonagon

h = r c + r i

Go Height of Nonagon given Side

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

How to Evaluate Height of Nonagon given Area?

Height of Nonagon given Area evaluator uses Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9))) to evaluate the Height of Nonagon, Height of Nonagon given Area formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using area. Height of Nonagon is denoted by h symbol.

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

FAQs on Height of Nonagon given Area

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

The formula of Height of Nonagon given Area is expressed as Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9))). Here is an example- 22.66686 = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(395*(tan(pi/9))).

How to calculate Height of Nonagon given Area?

With Area of Nonagon (A) we can find Height of Nonagon given Area using the formula - Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9))). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos), Tangent (tan), Square Root (sqrt) 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))/(2*sin(pi/9)))*Side of Nonagon

Can the Height of Nonagon given Area be negative?

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

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

Height of Nonagon given Area 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 Area can be measured.

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