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Perimeter of Nonagon given Inradius Formula

GoPerimeter of Nonagon Formula

GoPerimeter of Nonagon given Area Formula

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Perimeter of Nonagon is the total distance around the edge of the Nonagon. Check FAQs

P = 18 \cdot r i \cdot \tan (\frac{π}{9})

P - Perimeter of Nonagon?r_i - Inradius of Nonagon?π - Archimedes' constant?

Perimeter of Nonagon given Inradius Example

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

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

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

72.0661 = 18 \cdot 11 \cdot \tan (\frac{3.1416}{9})

72.0661m = 18 \cdot 11m \cdot \tan (\frac{3.1416}{9})

72.0661 = 18 \cdot 11 \cdot \tan (\frac{3.1416}{9})

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Perimeter of Nonagon given Inradius Solution

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

FIRST Step Consider the formula

P = 18 \cdot r i \cdot \tan (\frac{π}{9})

Next Step Substitute values of Variables

∴

P = 18 \cdot 11m \cdot \tan (\frac{π}{9})

Next Step Substitute values of Constants

∴

P = 18 \cdot 11m \cdot \tan (\frac{3.1416}{9})

Next Step Prepare to Evaluate

∴

P = 18 \cdot 11 \cdot \tan (\frac{3.1416}{9})

Next Step Evaluate

∴

P = 72.0661063847081m

LAST Step Rounding Answer

∴

P = 72.0661m

Perimeter of Nonagon given Inradius Formula Elements

Variables

Constants

Functions

Perimeter of Nonagon

Perimeter of Nonagon is the total distance around the edge of the Nonagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter of Nonagon

Go Perimeter of Nonagon

P = 9 \cdot S

Go Perimeter of Nonagon given Area

P = 9 \cdot \sqrt{\frac{4 \cdot A}{9 \cdot \cot (\frac{π}{9})}}

How to Evaluate Perimeter of Nonagon given Inradius?

Perimeter of Nonagon given Inradius evaluator uses Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9) to evaluate the Perimeter of Nonagon, Perimeter of Nonagon given Inradius formula is defined as the length of the boundary of the Nonagon, calculated using inradius. Perimeter of Nonagon is denoted by P symbol.

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

FAQs on Perimeter of Nonagon given Inradius

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

The formula of Perimeter of Nonagon given Inradius is expressed as Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9). Here is an example- 72.06611 = 18*11*tan(pi/9).

How to calculate Perimeter of Nonagon given Inradius?

With Inradius of Nonagon (r_i) we can find Perimeter of Nonagon given Inradius using the formula - Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Perimeter of Nonagon?

Here are the different ways to Calculate Perimeter of Nonagon-

Perimeter of Nonagon=9*Side of Nonagon
Perimeter of Nonagon=9*sqrt((4*Area of Nonagon)/(9*cot(pi/9)))

Can the Perimeter of Nonagon given Inradius be negative?

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

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

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

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