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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=2⋅rc⋅sin(πNS)
le - Edge Length of Regular Polygon?rc - Circumradius of Regular Polygon?NS - Number of Sides of Regular Polygon?π - Archimedes' constant?

Edge Length of Regular Polygon given Circumradius Example

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

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

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

9.9498Edit=2⋅13Edit⋅sin(3.14168Edit)
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Edge Length of Regular Polygon given Circumradius Solution

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

FIRST Step Consider the formula
le=2⋅rc⋅sin(πNS)
Next Step Substitute values of Variables
∴ le=2⋅13m⋅sin(π8)
Next Step Substitute values of Constants
∴ le=2⋅13m⋅sin(3.14168)
Next Step Prepare to Evaluate
∴ le=2⋅13⋅sin(3.14168)
Next Step Evaluate
∴le=9.94976924149233m
LAST Step Rounding Answer
∴le=9.9498m

Edge Length of Regular Polygon given Circumradius 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
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.
Formulas to find Circumradius 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
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(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 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 Circumradius?

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

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

FAQs on Edge Length of Regular Polygon given Circumradius

What is the formula to find Edge Length of Regular Polygon given Circumradius?
The formula of Edge Length of Regular Polygon given Circumradius is expressed as Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon). Here is an example- 9.949769 = 2*13*sin(pi/8).
How to calculate Edge Length of Regular Polygon given Circumradius?
With Circumradius of Regular Polygon (rc) & Number of Sides of Regular Polygon (NS) we can find Edge Length of Regular Polygon given Circumradius using the formula - Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon). This formula also uses Archimedes' constant and Sine (sin) 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=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 Circumradius be negative?
No, the Edge Length of Regular Polygon given Circumradius, measured in Length cannot be negative.
Which unit is used to measure Edge Length of Regular Polygon given Circumradius?
Edge Length of Regular Polygon given Circumradius 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 Circumradius can be measured.
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