Perimeter of Regular Polygon given Inradius and Area Calculator

✖Area of Regular Polygon is the total region or space enclosed inside the polygon.ⓘ Area of Regular Polygon [A]			+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%

✖The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon.ⓘ Perimeter of Regular Polygon given Inradius and Area [P]

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Perimeter of Regular Polygon given Inradius and Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Area of Regular Polygon: 480 Square Meter --> 480 Square Meter No Conversion Required
Inradius of Regular Polygon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2*A)/r_i --> (2*480)/12

Evaluating ... ...

P = 80

STEP 3: Convert Result to Output's Unit

80 Meter --> No Conversion Required

FINAL ANSWER

80 Meter <-- Perimeter of Regular Polygon

(Calculation completed in 00.004 seconds)

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< Perimeter of Regular Polygon Calculators

Perimeter of Regular Polygon given Number of Sides and Circumradius

LaTeX Go 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 given Number of Sides and Inradius

LaTeX Go Perimeter of Regular Polygon = 2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)

Perimeter of Regular Polygon given Circumradius and Area

LaTeX Go 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

LaTeX Go Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length of Regular Polygon

Perimeter of Regular Polygon given Inradius and Area Formula

LaTeX Go

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

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 Perimeter of Regular Polygon given Inradius and Area?

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

FAQ

What is Perimeter of Regular Polygon given Inradius and Area?

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 and is represented as P = (2*A)/r_i or Perimeter of Regular Polygon = (2*Area of Regular Polygon)/Inradius of Regular Polygon. Area of Regular Polygon is the total region or space enclosed inside the 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 Perimeter of Regular Polygon given Inradius and Area?

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 is calculated using Perimeter of Regular Polygon = (2*Area of Regular Polygon)/Inradius of Regular Polygon. To calculate Perimeter of Regular Polygon given Inradius and Area, you need Area of Regular Polygon (A) & Inradius of Regular Polygon (r_i). With our tool, you need to enter the respective value for Area 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 Perimeter of Regular Polygon?

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

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)

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