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Perimeter of Regular Polygon given Number of Sides and Circumradius Formula

GoPerimeter of Regular Polygon Formula

GoPerimeter of Regular Polygon given Circumradius and Area 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 r c \cdot N S \cdot \sin (\frac{π}{N S})

P - Perimeter of Regular Polygon?r_c - Circumradius of Regular Polygon?N_S - Number of Sides of Regular Polygon?π - Archimedes' constant?

Perimeter of Regular Polygon given Number of Sides and Circumradius Example

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

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

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

79.5982 = 2 \cdot 13 \cdot 8 \cdot \sin (\frac{3.1416}{8})

79.5982m = 2 \cdot 13m \cdot 8 \cdot \sin (\frac{3.1416}{8})

79.5982 = 2 \cdot 13 \cdot 8 \cdot \sin (\frac{3.1416}{8})

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Perimeter of Regular Polygon given Number of Sides and Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot 13m \cdot 8 \cdot \sin (\frac{π}{8})

Next Step Substitute values of Constants

∴

P = 2 \cdot 13m \cdot 8 \cdot \sin (\frac{3.1416}{8})

Next Step Prepare to Evaluate

∴

P = 2 \cdot 13 \cdot 8 \cdot \sin (\frac{3.1416}{8})

Next Step Evaluate

∴

P = 79.5981539319387m

LAST Step Rounding Answer

∴

P = 79.5982m

Perimeter of Regular Polygon given Number of Sides and Circumradius 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

Circumradius of Regular Polygon

The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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

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)

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 Circumradius and Area

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

Go Perimeter of Regular Polygon given Number of Sides and Inradius

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

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 Circumradius?

Perimeter of Regular Polygon given Number of Sides and Circumradius evaluator uses Perimeter of Regular Polygon = 2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon) to evaluate the Perimeter of Regular Polygon, Perimeter of Regular Polygon given Number of Sides and Circumradius formula can be defined as the total distance around the edge of the Regular Polygon, calculated using its circumradius 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 Circumradius using this online evaluator? To use this online evaluator for Perimeter of Regular Polygon given Number of Sides and Circumradius, enter Circumradius of Regular Polygon (r_c) & Number of Sides of Regular Polygon (N_S) and hit the calculate button.

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

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

The formula of Perimeter of Regular Polygon given Number of Sides and Circumradius is expressed as Perimeter of Regular Polygon = 2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon). Here is an example- 79.59815 = 2*13*8*sin(pi/8).

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

With Circumradius of Regular Polygon (r_c) & Number of Sides of Regular Polygon (N_S) we can find Perimeter of Regular Polygon given Number of Sides and Circumradius using the formula - Perimeter of Regular Polygon = 2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon). This formula also uses Archimedes' constant and Sine (sin) 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*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4)
Perimeter of Regular Polygon=2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)

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

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

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

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

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Perimeter of Regular Polygon given Number of Sides and Circumradius Formula

​GoPerimeter of Regular Polygon Formula

​GoPerimeter of Regular Polygon given Circumradius and Area Formula

Perimeter of Regular Polygon given Number of Sides and Circumradius Example

Perimeter of Regular Polygon given Number of Sides and Circumradius Solution

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

Other Formulas to find Perimeter of Regular Polygon

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

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

Variable Name

GoPerimeter of Regular Polygon Formula

GoPerimeter of Regular Polygon given Circumradius and Area Formula