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Area of Nonagon given Inradius Formula

GoArea of Nonagon Formula

GoArea of Nonagon given Height Formula

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

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

A - Area of Nonagon?r_i - Inradius of Nonagon?π - Archimedes' constant?

Area of Nonagon given Inradius Example

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

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

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

396.3636 = 9 \cdot 11^{2} \cdot \tan (\frac{3.1416}{9})

396.3636m² = 9 \cdot {11m}^{2} \cdot \tan (\frac{3.1416}{9})

396.3636 = 9 \cdot 11^{2} \cdot \tan (\frac{3.1416}{9})

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Area of Nonagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 9 \cdot {11m}^{2} \cdot \tan (\frac{π}{9})

Next Step Substitute values of Constants

∴

A = 9 \cdot {11m}^{2} \cdot \tan (\frac{3.1416}{9})

Next Step Prepare to Evaluate

∴

A = 9 \cdot 11^{2} \cdot \tan (\frac{3.1416}{9})

Next Step Evaluate

∴

A = 396.363585115894m²

LAST Step Rounding Answer

∴

A = 396.3636m²

Area of Nonagon given Inradius 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

Inradius of Nonagon

Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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

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 Height

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

Area of Nonagon given Inradius evaluator uses Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9) to evaluate the Area of Nonagon, Area of Nonagon given Inradius formula is defined as the amount of 2-dimensional space occupied by a Nonagon in a plane, calculated using inradius. Area of Nonagon is denoted by A symbol.

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

FAQs on Area of Nonagon given Inradius

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

The formula of Area of Nonagon given Inradius is expressed as Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9). Here is an example- 396.3636 = 9*11^2*tan(pi/9).

How to calculate Area of Nonagon given Inradius?

With Inradius of Nonagon (r_i) we can find Area of Nonagon given Inradius using the formula - Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9). This formula also uses Archimedes' constant and Tangent 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=(((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))
Area of Nonagon=(Perimeter of Nonagon^2*cot(pi/9))/36

Can the Area of Nonagon given Inradius be negative?

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

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

Area of Nonagon given Inradius 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 Inradius can be measured.

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