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The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon. Check FAQs
le=4⋅A⋅tan(πNS)NS
le - Edge Length of Regular Polygon?A - Area of Regular Polygon?NS - Number of Sides of Regular Polygon?π - Archimedes' constant?

Edge Length of Regular Polygon given Area Example

With values
With units
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Here is how the Edge Length of Regular Polygon given Area equation looks like with Values.

Here is how the Edge Length of Regular Polygon given Area equation looks like with Units.

Here is how the Edge Length of Regular Polygon given Area equation looks like.

9.9705Edit=4⋅480Edit⋅tan(3.14168Edit)8Edit
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Edge Length of Regular Polygon given Area Solution

Follow our step by step solution on how to calculate Edge Length of Regular Polygon given Area?

FIRST Step Consider the formula
le=4⋅A⋅tan(πNS)NS
Next Step Substitute values of Variables
∴ le=4⋅480m²⋅tan(π8)8
Next Step Substitute values of Constants
∴ le=4⋅480m²⋅tan(3.14168)8
Next Step Prepare to Evaluate
∴ le=4⋅480⋅tan(3.14168)8
Next Step Evaluate
∴le=9.9705192928725m
LAST Step Rounding Answer
∴le=9.9705m

Edge Length of Regular Polygon given Area Formula Elements

Variables
Constants
Functions
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.
Formulas to find Edge Length of Regular PolygonOpen Variable
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 PolygonOpen Variable
Number of Sides of Regular Polygon
The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.
Symbol: NS
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Sides of Regular PolygonOpen Variable
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
tan
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Syntax: tan(Angle)
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 Edge Length of Regular Polygon

​Go Edge Length of Regular Polygon given Circumradius
le=2⋅rc⋅sin(πNS)
​Go Edge Length of Regular Polygon given Perimeter
le=PNS
​Go Edge Length of Regular Polygon given Inradius
le=ri⋅2⋅tan(πNS)

How to Evaluate Edge Length of Regular Polygon given Area?

Edge Length of Regular Polygon given Area evaluator uses Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon) to evaluate the Edge Length of Regular Polygon, The Edge Length of Regular Polygon given Area formula can be defined as the length of one of the sides of the Regular Polygon. Edge Length of Regular Polygon is denoted by le symbol.

How to evaluate Edge Length of Regular Polygon given Area using this online evaluator? To use this online evaluator for Edge Length of Regular Polygon given Area, enter Area of Regular Polygon (A) & Number of Sides of Regular Polygon (NS) and hit the calculate button.

FAQs on Edge Length of Regular Polygon given Area

What is the formula to find Edge Length of Regular Polygon given Area?
The formula of Edge Length of Regular Polygon given Area is expressed as Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon). Here is an example- 9.970519 = sqrt(4*480*tan(pi/8))/sqrt(8).
How to calculate Edge Length of Regular Polygon given Area?
With Area of Regular Polygon (A) & Number of Sides of Regular Polygon (NS) we can find Edge Length of Regular Polygon given Area using the formula - Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) function(s).
What are the other ways to Calculate Edge Length of Regular Polygon?
Here are the different ways to Calculate Edge Length of Regular Polygon-
  • Edge Length of Regular Polygon=2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)OpenImg
  • Edge Length of Regular Polygon=Perimeter of Regular Polygon/Number of Sides of Regular PolygonOpenImg
  • Edge Length of Regular Polygon=Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon)OpenImg
Can the Edge Length of Regular Polygon given Area be negative?
No, the Edge Length of Regular Polygon given Area, measured in Length cannot be negative.
Which unit is used to measure Edge Length of Regular Polygon given Area?
Edge Length of Regular Polygon given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Regular Polygon given Area can be measured.
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