FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Area of Regular Polygon given Perimeter and Inradius Formula

GoArea of Regular Polygon given Inradius Formula

GoArea of Regular Polygon given Circumradius Formula

Fx Copy

LaTeX Copy

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

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

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

Area of Regular Polygon given Perimeter and Inradius Example

With values

With units

Only example

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

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

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

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

480m² = \frac{80m \cdot 12m}{2}

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Area of Regular Polygon given Perimeter and Inradius

Area of Regular Polygon given Perimeter and Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{80m \cdot 12m}{2}

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

A = 480m²

Area of Regular Polygon given Perimeter and Inradius Formula Elements

Variables

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

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

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 Area of Regular Polygon

Go Area of Regular Polygon given Inradius

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

Go Area of Regular Polygon given Circumradius

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

Go Area of Regular Polygon

A = \frac{{l e}^{2} \cdot N S}{4 \cdot \tan (\frac{π}{N S})}

Go Area of Regular Polygon given Perimeter and Circumradius

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

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

Area of Regular Polygon given Perimeter and Inradius evaluator uses Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2 to evaluate the Area of Regular Polygon, Area of Regular Polygon given Perimeter and Inradius formula can be defined as the total region or space enclosed inside the Regular Polygon, calculated using its perimeter and inradius. Area of Regular Polygon is denoted by A symbol.

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

FAQs on Area of Regular Polygon given Perimeter and Inradius

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

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

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

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

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

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

Area of Regular Polygon=Inradius of Regular Polygon^2*Number of Sides of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)
Area of Regular Polygon=(Circumradius of Regular Polygon^2*Number of Sides of Regular Polygon*sin((2*pi)/(Number of Sides of Regular Polygon)))/2
Area of Regular Polygon=(Edge Length of Regular Polygon^2*Number of Sides of Regular Polygon)/(4*tan(pi/(Number of Sides of Regular Polygon)))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Area of Regular Polygon given Perimeter and Inradius Formula

​GoArea of Regular Polygon given Inradius Formula

​GoArea of Regular Polygon given Circumradius Formula

Area of Regular Polygon given Perimeter and Inradius Example

Area of Regular Polygon given Perimeter and Inradius Solution

Area of Regular Polygon given Perimeter and Inradius Formula Elements

Other Formulas to find Area of Regular Polygon

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

FAQs on Area of Regular Polygon given Perimeter and Inradius

Variable Name

GoArea of Regular Polygon given Inradius Formula

GoArea of Regular Polygon given Circumradius Formula