What Are Your Thoughts on This Simple Circle Problem?

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Homework Help Overview

The discussion revolves around a geometric problem involving circles, specifically focusing on relationships between radii and segments within the circles. Participants are exploring the properties of the circles as described in a provided image link.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Some participants attempt to establish relationships between the segments using the Pythagorean theorem and definitions of radii. Others question whether a specific equation involving the lengths of segments is valid.

Discussion Status

The discussion is active with various approaches being explored. Participants are sharing their reasoning and attempting to connect different elements of the problem, though no consensus has been reached yet.

Contextual Notes

There is a reference to a visual aid that is not accessible in the thread, which may limit the understanding of the problem setup. Additionally, the nature of the problem suggests that it may be part of a homework assignment, though specific constraints are not detailed.

soggybread
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Hi guys,

I found this little problem on some website ages go, and was just wondering what you think of it:

http://img354.imageshack.us/img354/9052/cirlce8hk.gif

Anyone have any ideas?
 
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|OA| = R (since OA is a radius of the big circle)
|OA| = |OM| + |MA| (just look at it)
|MA| = r (since AM is a radius of the small circle)
r² + r² = |OM|² (pythagorean theorem)
 
interesting, i was thinking that: Line OM + r = R

would that work?
 
That's what you get when you put AKG's first three lines together into a single equation. Now put that together with the fourth line, and you've got it
 

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