Formula for Area of Overlapping Rings?

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Discussion Overview

The discussion revolves around finding a formula for the area enclosed by two overlapping rings, specifically in terms of the radius of the rings and the distance between their centers. The context includes a request for clarification on the parameters involved.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant requests a formula for the area of overlapping rings and provides a sketch for reference.
  • The same participant later clarifies that the question pertains to identical rings and specifies the need for the formula in terms of the radius and center distance.
  • Another participant notes an issue with accessing the attached sketch due to a password requirement.
  • The original poster acknowledges the issue and indicates that it has been resolved.

Areas of Agreement / Disagreement

The discussion does not present any consensus or resolved viewpoints, as it primarily consists of requests for information and clarifications.

Contextual Notes

The discussion lacks specific mathematical formulations or assumptions that may be necessary for deriving the area, and it is unclear if any participants have attempted to provide a solution.

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Could anyone direct me to a formula for the area enclosed by two overlapping rings? Sketch below...

area.jpg


Thanks...
-jg
 
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I realize my question was a little bit ambiguous... specifically, the area in terms of the radius of the two circles and the distance between their centers. The rings are identical.

Sorry about that.
-jg
 
Also, looking at your attachment appears to require a password.
 
OK, should be fixed now. Sorry, once again.
-jg
 

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