Perimeter of Regular Polygon given Circumradius and Area Calculator

✖Area of Regular Polygon is the total region or space enclosed inside the polygon.ⓘ Area of Regular Polygon [A]			+10% -10%
✖The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices.ⓘ Circumradius of Regular Polygon [r_c]			+10% -10%
✖The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.ⓘ Edge Length of Regular Polygon [l_e]			+10% -10%

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

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Formula

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Perimeter of Regular Polygon given Circumradius and Area

Formula

`"P" = (2*"A")/sqrt("r"_{"c"}^2-"l"_{"e"}^2/4)`

Example

`"80m"=(2*"480m²")/sqrt(("13m")^2-("10m")^2/4)`

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Perimeter of Regular Polygon given Circumradius and Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4)
P = (2*A)/sqrt(r_c^2-l_e^2/4)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Circumradius of Regular Polygon - (Measured in Meter) - The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices.
Edge Length of Regular Polygon - (Measured in Meter) - The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.

STEP 1: Convert Input(s) to Base Unit

Area of Regular Polygon: 480 Square Meter --> 480 Square Meter No Conversion Required
Circumradius of Regular Polygon: 13 Meter --> 13 Meter No Conversion Required
Edge Length of Regular Polygon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2*A)/sqrt(r_c^2-l_e^2/4) --> (2*480)/sqrt(13^2-10^2/4)

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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< 5 Perimeter of Regular Polygon Calculators

Perimeter of Regular Polygon given Number of Sides and Circumradius

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

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

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

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

Perimeter of Regular Polygon given Inradius and Area

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

Perimeter of Regular Polygon given Circumradius and Area Formula

Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4)
P = (2*A)/sqrt(r_c^2-l_e^2/4)

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 Circumradius and Area?

Perimeter of Regular Polygon given Circumradius and Area calculator uses Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4) to calculate the Perimeter of Regular Polygon, Perimeter of Regular Polygon given Circumradius and Area formula can be defined as the total distance around the edge of the Regular Polygon, calculated using its circumradius and area. Perimeter of Regular Polygon is denoted by P symbol.

How to calculate Perimeter of Regular Polygon given Circumradius and Area using this online calculator? To use this online calculator for Perimeter of Regular Polygon given Circumradius and Area, enter Area of Regular Polygon (A), Circumradius of Regular Polygon (r_c) & Edge Length of Regular Polygon (l_e) and hit the calculate button. Here is how the Perimeter of Regular Polygon given Circumradius and Area calculation can be explained with given input values -> 80 = (2*480)/sqrt(13^2-10^2/4).

FAQ

What is Perimeter of Regular Polygon given Circumradius and Area?

Perimeter of Regular Polygon given Circumradius and Area formula can be defined as the total distance around the edge of the Regular Polygon, calculated using its circumradius and area and is represented as P = (2*A)/sqrt(r_c^2-l_e^2/4) or Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4). Area of Regular Polygon is the total region or space enclosed inside the polygon, The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices & The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.

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

Perimeter of Regular Polygon given Circumradius and Area formula can be defined as the total distance around the edge of the Regular Polygon, calculated using its circumradius and area is calculated using Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4). To calculate Perimeter of Regular Polygon given Circumradius and Area, you need Area of Regular Polygon (A), Circumradius of Regular Polygon (r_c) & Edge Length of Regular Polygon (l_e). With our tool, you need to enter the respective value for Area of Regular Polygon, Circumradius of Regular Polygon & Edge Length 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, Circumradius of Regular Polygon & Edge Length of Regular Polygon. We can use 4 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*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)
Perimeter of Regular Polygon = (2*Area of Regular Polygon)/Inradius of Regular Polygon

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