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Perimeter of Regular Polygon given Number of Sides and Inradius Formula

GoPerimeter of Regular Polygon Formula

GoPerimeter of Regular Polygon given Number of Sides and Circumradius Formula

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The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon. Check FAQs

P = 2 \cdot N S \cdot r i \cdot \tan (\frac{π}{N S})

P - Perimeter of Regular Polygon?N_S - Number of Sides of Regular Polygon?r_i - Inradius of Regular Polygon?π - Archimedes' constant?

Perimeter of Regular Polygon given Number of Sides and Inradius Example

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Here is how the Perimeter of Regular Polygon given Number of Sides and Inradius equation looks like with Values.

Here is how the Perimeter of Regular Polygon given Number of Sides and Inradius equation looks like with Units.

Here is how the Perimeter of Regular Polygon given Number of Sides and Inradius equation looks like.

79.529 = 2 \cdot 8 \cdot 12 \cdot \tan (\frac{3.1416}{8})

79.529m = 2 \cdot 8 \cdot 12m \cdot \tan (\frac{3.1416}{8})

79.529 = 2 \cdot 8 \cdot 12 \cdot \tan (\frac{3.1416}{8})

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Perimeter of Regular Polygon given Number of Sides and Inradius Solution

Follow our step by step solution on how to calculate Perimeter of Regular Polygon given Number of Sides and Inradius?

FIRST Step Consider the formula

P = 2 \cdot N S \cdot r i \cdot \tan (\frac{π}{N S})

Next Step Substitute values of Variables

∴

P = 2 \cdot 8 \cdot 12m \cdot \tan (\frac{π}{8})

Next Step Substitute values of Constants

∴

P = 2 \cdot 8 \cdot 12m \cdot \tan (\frac{3.1416}{8})

Next Step Prepare to Evaluate

∴

P = 2 \cdot 8 \cdot 12 \cdot \tan (\frac{3.1416}{8})

Next Step Evaluate

∴

P = 79.5290039756343m

LAST Step Rounding Answer

∴

P = 79.529m

Perimeter of Regular Polygon given Number of Sides and Inradius Formula Elements

Variables

Constants

Functions

Perimeter of Regular Polygon

The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Regular Polygon

Number of Sides of Regular Polygon

The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

Symbol: N_S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Sides of Regular Polygon

Inradius of Regular Polygon

Inradius of Regular Polygon is the line connecting the center of the polygon to the midpoint of one of the Regular Polygon's sides. The inradius is also the radius of the incircle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Regular Polygon

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 Regular Polygon

Go Perimeter of Regular Polygon

P = N S \cdot l e

Go Perimeter of Regular Polygon given Number of Sides and Circumradius

P = 2 \cdot r c \cdot N S \cdot \sin (\frac{π}{N S})

Go Perimeter of Regular Polygon given Circumradius and Area

P = \frac{2 \cdot A}{\sqrt{{r c}^{2} - \frac{{l e}^{2}}{4}}}

Go Perimeter of Regular Polygon given Inradius and Area

P = \frac{2 \cdot A}{r i}

How to Evaluate Perimeter of Regular Polygon given Number of Sides and Inradius?

Perimeter of Regular Polygon given Number of Sides and Inradius evaluator uses Perimeter of Regular Polygon = 2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon) to evaluate the Perimeter of Regular Polygon, The Perimeter of Regular Polygon given Number of Sides and Inradius formula can be defined as the total distance around the edge of the Regular Polygon, calculated using its inradius and number of sides. Perimeter of Regular Polygon is denoted by P symbol.

How to evaluate Perimeter of Regular Polygon given Number of Sides and Inradius using this online evaluator? To use this online evaluator for Perimeter of Regular Polygon given Number of Sides and Inradius, enter Number of Sides of Regular Polygon (N_S) & Inradius of Regular Polygon (r_i) and hit the calculate button.

FAQs on Perimeter of Regular Polygon given Number of Sides and Inradius

What is the formula to find Perimeter of Regular Polygon given Number of Sides and Inradius?

The formula of Perimeter of Regular Polygon given Number of Sides and Inradius is expressed as Perimeter of Regular Polygon = 2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon). Here is an example- 79.529 = 2*8*12*tan(pi/8).

How to calculate Perimeter of Regular Polygon given Number of Sides and Inradius?

With Number of Sides of Regular Polygon (N_S) & Inradius of Regular Polygon (r_i) we can find Perimeter of Regular Polygon given Number of Sides and Inradius using the formula - Perimeter of Regular Polygon = 2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Perimeter of Regular Polygon?

Here are the different ways to Calculate Perimeter of Regular Polygon-

Perimeter of Regular Polygon=Number of Sides of Regular Polygon*Edge Length of Regular Polygon
Perimeter of Regular Polygon=2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)
Perimeter of Regular Polygon=(2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4)

Can the Perimeter of Regular Polygon given Number of Sides and Inradius be negative?

No, the Perimeter of Regular Polygon given Number of Sides and Inradius, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Regular Polygon given Number of Sides and Inradius?

Perimeter of Regular Polygon given Number of Sides and 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 Regular Polygon given Number of Sides and Inradius can be measured.

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Perimeter of Regular Polygon given Number of Sides and Inradius Formula

​GoPerimeter of Regular Polygon Formula

​GoPerimeter of Regular Polygon given Number of Sides and Circumradius Formula

Perimeter of Regular Polygon given Number of Sides and Inradius Example

Perimeter of Regular Polygon given Number of Sides and Inradius Solution

Perimeter of Regular Polygon given Number of Sides and Inradius Formula Elements

Other Formulas to find Perimeter of Regular Polygon

How to Evaluate Perimeter of Regular Polygon given Number of Sides and Inradius?

FAQs on Perimeter of Regular Polygon given Number of Sides and Inradius

Variable Name

GoPerimeter of Regular Polygon Formula

GoPerimeter of Regular Polygon given Number of Sides and Circumradius Formula