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The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon. Check FAQs
P=2Arc2-le24
P - Perimeter of Regular Polygon?A - Area of Regular Polygon?rc - Circumradius of Regular Polygon?le - Edge Length of Regular Polygon?

Perimeter of Regular Polygon given Circumradius and Area Example

With values
With units
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Here is how the Perimeter of Regular Polygon given Circumradius and Area equation looks like with Values.

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

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

80Edit=2480Edit13Edit2-10Edit24
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Perimeter of Regular Polygon given Circumradius and Area Solution

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

FIRST Step Consider the formula
P=2Arc2-le24
Next Step Substitute values of Variables
P=248013m2-10m24
Next Step Prepare to Evaluate
P=2480132-1024
LAST Step Evaluate
P=80m

Perimeter of Regular Polygon given Circumradius and Area Formula Elements

Variables
Functions
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.
Area of Regular Polygon
Area of Regular Polygon is the total region or space enclosed inside the polygon.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
Circumradius of Regular Polygon
The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices.
Symbol: rc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Edge Length of Regular Polygon
The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.
Symbol: le
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Syntax: sqrt(Number)

Other Formulas to find Perimeter of Regular Polygon

​Go Perimeter of Regular Polygon
P=NSle
​Go Perimeter of Regular Polygon given Number of Sides and Circumradius
P=2rcNSsin(πNS)
​Go Perimeter of Regular Polygon given Number of Sides and Inradius
P=2NSritan(πNS)
​Go Perimeter of Regular Polygon given Inradius and Area
P=2Ari

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

Perimeter of Regular Polygon given Circumradius and Area evaluator uses Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4) to evaluate 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 evaluate Perimeter of Regular Polygon given Circumradius and Area using this online evaluator? To use this online evaluator for Perimeter of Regular Polygon given Circumradius and Area, enter Area of Regular Polygon (A), Circumradius of Regular Polygon (rc) & Edge Length of Regular Polygon (le) and hit the calculate button.

FAQs on Perimeter of Regular Polygon given Circumradius and Area

What is the formula to find Perimeter of Regular Polygon given Circumradius and Area?
The formula of Perimeter of Regular Polygon given Circumradius and Area is expressed as Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4). Here is an example- 80 = (2*480)/sqrt(13^2-10^2/4).
How to calculate Perimeter of Regular Polygon given Circumradius and Area?
With Area of Regular Polygon (A), Circumradius of Regular Polygon (rc) & Edge Length of Regular Polygon (le) we can find Perimeter of Regular Polygon given Circumradius and Area using the formula - Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4). This formula also uses Square Root (sqrt) function(s).
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 PolygonOpenImg
  • Perimeter of Regular Polygon=2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)OpenImg
  • Perimeter of Regular Polygon=2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)OpenImg
Can the Perimeter of Regular Polygon given Circumradius and Area be negative?
No, the Perimeter of Regular Polygon given Circumradius and Area, measured in Length cannot be negative.
Which unit is used to measure Perimeter of Regular Polygon given Circumradius and Area?
Perimeter of Regular Polygon given Circumradius 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 Circumradius and Area can be measured.
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