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Area of Nonagon given Height Formula

GoArea of Nonagon Formula

GoArea of Nonagon given Inradius Formula

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

A = \frac{{(\frac{3 \cdot \sin (\frac{π}{9}) \cdot h}{1 + \cos (\frac{π}{9})})}^{2}}{\tan (\frac{π}{9})}

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

Area of Nonagon given Height Example

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

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

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

372.0999 = \frac{{(\frac{3 \cdot \sin (\frac{3.1416}{9}) \cdot 22}{1 + \cos (\frac{3.1416}{9})})}^{2}}{\tan (\frac{3.1416}{9})}

372.0999m² = \frac{{(\frac{3 \cdot \sin (\frac{3.1416}{9}) \cdot 22m}{1 + \cos (\frac{3.1416}{9})})}^{2}}{\tan (\frac{3.1416}{9})}

372.0999 = \frac{{(\frac{3 \cdot \sin (\frac{3.1416}{9}) \cdot 22}{1 + \cos (\frac{3.1416}{9})})}^{2}}{\tan (\frac{3.1416}{9})}

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Area of Nonagon given Height Solution

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

FIRST Step Consider the formula

A = \frac{{(\frac{3 \cdot \sin (\frac{π}{9}) \cdot h}{1 + \cos (\frac{π}{9})})}^{2}}{\tan (\frac{π}{9})}

Next Step Substitute values of Variables

∴

A = \frac{{(\frac{3 \cdot \sin (\frac{π}{9}) \cdot 22m}{1 + \cos (\frac{π}{9})})}^{2}}{\tan (\frac{π}{9})}

Next Step Substitute values of Constants

∴

A = \frac{{(\frac{3 \cdot \sin (\frac{3.1416}{9}) \cdot 22m}{1 + \cos (\frac{3.1416}{9})})}^{2}}{\tan (\frac{3.1416}{9})}

Next Step Prepare to Evaluate

∴

A = \frac{{(\frac{3 \cdot \sin (\frac{3.1416}{9}) \cdot 22}{1 + \cos (\frac{3.1416}{9})})}^{2}}{\tan (\frac{3.1416}{9})}

Next Step Evaluate

∴

A = 372.099892852149m²

LAST Step Rounding Answer

∴

A = 372.0999m²

Area of Nonagon given Height Formula Elements

Variables

Constants

Functions

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

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

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)

Other Formulas to find Area of Nonagon

Go Area of Nonagon

A = \frac{9}{4} \cdot S^{2} \cdot \cot (\frac{π}{9})

Go Area of Nonagon given Inradius

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

Go Area of Nonagon given Perimeter

A = \frac{P^{2} \cdot \cot (\frac{π}{9})}{36}

How to Evaluate Area of Nonagon given Height?

Area of Nonagon given Height evaluator uses Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9)) to evaluate the Area of Nonagon, Area of Nonagon given Height formula is defined as amount or quantity of space occupied by Nonagon in a plane, calculated using height. Area of Nonagon is denoted by A symbol.

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

FAQs on Area of Nonagon given Height

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

The formula of Area of Nonagon given Height is expressed as Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9)). Here is an example- 372.0999 = (((3*sin(pi/9)*22)/(1+cos(pi/9)))^2)/(tan(pi/9)).

How to calculate Area of Nonagon given Height?

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

What are the other ways to Calculate Area of Nonagon?

Here are the different ways to Calculate Area of Nonagon-

Area of Nonagon=9/4*Side of Nonagon^2*cot(pi/9)
Area of Nonagon=9*Inradius of Nonagon^2*tan(pi/9)
Area of Nonagon=(Perimeter of Nonagon^2*cot(pi/9))/36

Can the Area of Nonagon given Height be negative?

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

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

Area of Nonagon given Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Nonagon given Height can be measured.

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