Get Polygon Side Length From Radius

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  • Thread starter Thread starter therealdrag0
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    Length Polygon Radius
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SUMMARY

The discussion focuses on calculating the side length of a polygon given its radius, which is the distance from the center to a vertex. Zachariah emphasizes the use of geometry and trigonometry, specifically applying the sine function in relation to the number of sides of the polygon to determine the included angle. A useful resource provided is the website Math Open Reference, which offers detailed explanations and formulas for polygon side lengths.

PREREQUISITES
  • Understanding of basic geometry principles
  • Knowledge of trigonometric functions, particularly sine
  • Familiarity with polygons and their properties
  • Ability to interpret mathematical diagrams
NEXT STEPS
  • Study the sine function and its applications in geometry
  • Explore the relationship between the number of sides and the included angle in polygons
  • Learn how to derive formulas for polygon side lengths from radius
  • Visit Math Open Reference for interactive geometry resources
USEFUL FOR

Mathematicians, geometry enthusiasts, programmers working on graphical applications, and educators teaching polygon properties will benefit from this discussion.

therealdrag0
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I'm doing some programing and I am wondering how I can find the length of a Polygon's side (variable number of sides) from the radius (distance between center and one corner).

Thank you

_Zachariah
 
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It is a simple application of geometry and Trig.

You know the side length and included angle (this is determined by the number of sides). Draw a picture and apply the definition of the Sin.
 

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