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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=ri⋅2⋅tan(πNS)
le - Edge Length of Regular Polygon?ri - Inradius of Regular Polygon?NS - Number of Sides of Regular Polygon?π - Archimedes' constant?

Edge Length of Regular Polygon given Inradius Example

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

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

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

9.9411Edit=12Edit⋅2⋅tan(3.14168Edit)
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Edge Length of Regular Polygon given Inradius Solution

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

FIRST Step Consider the formula
le=ri⋅2⋅tan(πNS)
Next Step Substitute values of Variables
∴ le=12m⋅2⋅tan(π8)
Next Step Substitute values of Constants
∴ le=12m⋅2⋅tan(3.14168)
Next Step Prepare to Evaluate
∴ le=12⋅2⋅tan(3.14168)
Next Step Evaluate
∴le=9.94112549695428m
LAST Step Rounding Answer
∴le=9.9411m

Edge Length of Regular Polygon given Inradius 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
Inradius of 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.
Symbol: ri
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Inradius 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)

Other Formulas to find Edge Length of Regular Polygon

​Go Edge Length of Regular Polygon given Area
le=4⋅A⋅tan(πNS)NS
​Go Edge Length of Regular Polygon given Circumradius
le=2⋅rc⋅sin(πNS)
​Go Edge Length of Regular Polygon given Perimeter
le=PNS

How to Evaluate Edge Length of Regular Polygon given Inradius?

Edge Length of Regular Polygon given Inradius evaluator uses Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon) to evaluate the Edge Length of Regular Polygon, The Edge Length of Regular Polygon given Inradius formula can be defined as the length of one of the sides of the Regular Polygon, calculated using its inradius. Edge Length of Regular Polygon is denoted by le symbol.

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

FAQs on Edge Length of Regular Polygon given Inradius

What is the formula to find Edge Length of Regular Polygon given Inradius?
The formula of Edge Length of Regular Polygon given Inradius is expressed as Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon). Here is an example- 9.941125 = 12*2*tan(pi/8).
How to calculate Edge Length of Regular Polygon given Inradius?
With Inradius of Regular Polygon (ri) & Number of Sides of Regular Polygon (NS) we can find Edge Length of Regular Polygon given Inradius using the formula - Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon). This formula also uses Archimedes' constant and Tangent 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=sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon)OpenImg
  • 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
Can the Edge Length of Regular Polygon given Inradius be negative?
No, the Edge Length of Regular Polygon given Inradius, measured in Length cannot be negative.
Which unit is used to measure Edge Length of Regular Polygon given Inradius?
Edge Length of Regular Polygon given Inradius 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 Inradius can be measured.
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