How to Calculate Un-Ordinary Circumference?

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SUMMARY

The discussion focuses on calculating the circumference of the intersection between two cylinders. The recommended approach involves parametrizing the curve of intersection and applying integral calculus to derive the circumference. This method is essential for accurately determining the length of the intersecting curve in three-dimensional space.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with parametric equations
  • Basic knowledge of three-dimensional geometry
  • Experience with mathematical modeling of curves
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  • Research how to parametrize curves in three-dimensional space
  • Study integral calculus applications in geometry
  • Explore examples of intersection curves between geometric shapes
  • Learn about computational tools for visualizing 3D intersections
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Mathematicians, engineers, and students studying geometry or calculus, particularly those interested in the intersection of three-dimensional shapes.

optics.tech
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Hi,

Can someone please tell me how to calculate circumference when two cylinders are intersects each other marked with red color such as below image?

Thanks in advance

Huygen

http://i44.tinypic.com/b9a93q.png
 
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Probably parametrize the curve of intersection, then do it as an integral.
 

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