Area of Regular Polygon given Perimeter and Inradius Calculator

✖The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon.ⓘ Perimeter of Regular Polygon [P]			+10% -10%
✖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.ⓘ Inradius of Regular Polygon [r_i]			+10% -10%

✖Area of Regular Polygon is the total region or space enclosed inside the polygon.ⓘ Area of Regular Polygon given Perimeter and Inradius [A]

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Area of Regular Polygon given Perimeter and Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2
A = (P*r_i)/2
This formula uses 3 Variables

Variables Used

Area of Regular Polygon - (Measured in Square Meter) - Area of Regular Polygon is the total region or space enclosed inside the polygon.
Perimeter of Regular Polygon - (Measured in Meter) - The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon.
Inradius of Regular Polygon - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Regular Polygon: 80 Meter --> 80 Meter No Conversion Required
Inradius of Regular Polygon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P*r_i)/2 --> (80*12)/2

Evaluating ... ...

A = 480

STEP 3: Convert Result to Output's Unit

480 Square Meter --> No Conversion Required

FINAL ANSWER

480 Square Meter <-- Area of Regular Polygon

(Calculation completed in 00.006 seconds)

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< Area of Regular Polygon Calculators

Area of Regular Polygon given Circumradius

LaTeX Go 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

LaTeX Go 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)))

Area of Regular Polygon given Inradius

LaTeX Go 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 given Perimeter and Inradius

LaTeX Go Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2

Area of Regular Polygon given Perimeter and Inradius Formula

LaTeX Go

Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2
A = (P*r_i)/2

What is Regular Polygon?

A Regular polygon has sides of equal length and equal angles between each side. A regular n-sided polygon has rotational symmetry of order n and it is also known as a cyclic polygon. All the vertices of a regular polygon lie on the circumscribed circle.

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

Area of Regular Polygon given Perimeter and Inradius calculator uses Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2 to calculate 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 calculate Area of Regular Polygon given Perimeter and Inradius using this online calculator? To use this online calculator 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. Here is how the Area of Regular Polygon given Perimeter and Inradius calculation can be explained with given input values -> 480 = (80*12)/2.

FAQ

What is Area of Regular Polygon given Perimeter and Inradius?

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 and is represented as A = (P*r_i)/2 or Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2. The Perimeter of Regular Polygon is the total distance around the edge of the 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.

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

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 is calculated using Area of Regular Polygon = (Perimeter of Regular Polygon*Inradius of Regular Polygon)/2. To calculate Area of Regular Polygon given Perimeter and Inradius, you need Perimeter of Regular Polygon (P) & Inradius of Regular Polygon (r_i). With our tool, you need to enter the respective value for Perimeter of Regular Polygon & Inradius of Regular Polygon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Regular Polygon?

In this formula, Area of Regular Polygon uses Perimeter of Regular Polygon & Inradius of Regular Polygon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)))

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