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Perimeter of Regular Polygon given Inradius and Area 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 = \frac{2 \cdot A}{r i}

P - Perimeter of Regular Polygon?A - Area of Regular Polygon?r_i - Inradius of Regular Polygon?

Perimeter of Regular Polygon given Inradius and Area Example

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

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

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

80 = \frac{2 \cdot 480}{12}

80m = \frac{2 \cdot 480m²}{12m}

80 = \frac{2 \cdot 480}{12}

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Perimeter of Regular Polygon given Inradius and Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{2 \cdot 480m²}{12m}

Next Step Prepare to Evaluate

∴

P = \frac{2 \cdot 480}{12}

LAST Step Evaluate

∴

P = 80m

Perimeter of Regular Polygon given Inradius and Area Formula Elements

Variables

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

Area of Regular Polygon

Area of Regular Polygon is the total region or space enclosed inside the polygon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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 Number of Sides and Inradius

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

How to Evaluate Perimeter of Regular Polygon given Inradius and Area?

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

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

FAQs on Perimeter of Regular Polygon given Inradius and Area

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

The formula of Perimeter of Regular Polygon given Inradius and Area is expressed as Perimeter of Regular Polygon = (2*Area of Regular Polygon)/Inradius of Regular Polygon. Here is an example- 80 = (2*480)/12.

How to calculate Perimeter of Regular Polygon given Inradius and Area?

With Area of Regular Polygon (A) & Inradius of Regular Polygon (r_i) we can find Perimeter of Regular Polygon given Inradius and Area using the formula - Perimeter of Regular Polygon = (2*Area of Regular Polygon)/Inradius of Regular Polygon.

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 Inradius and Area be negative?

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

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

Perimeter of Regular Polygon given Inradius and Area 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 Inradius and Area can be measured.

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: Unit

Perimeter of Regular Polygon given Inradius and Area Formula

​GoPerimeter of Regular Polygon Formula

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

Perimeter of Regular Polygon given Inradius and Area Example

Perimeter of Regular Polygon given Inradius and Area Solution

Perimeter of Regular Polygon given Inradius and Area Formula Elements

Other Formulas to find Perimeter of Regular Polygon

How to Evaluate Perimeter of Regular Polygon given Inradius and Area?

FAQs on Perimeter of Regular Polygon given Inradius and Area

Variable Name

GoPerimeter of Regular Polygon Formula

GoPerimeter of Regular Polygon given Number of Sides and Circumradius Formula