Finding center of a circle given limited infomation

Finding center of a circle given limited infomation

Postby texasaggie0004 » Thu May 30, 2024 10:39 am

Good morning,

I'm usually able to mechanically solve these types of problems, and maybe I've over complicated myself here and am missing the simple solution.

Please refer to the attached image. I have a circle (black) with a known radius and center. I have another known point off the circle. Given the limits of the red lines (known by drawing right angles off the center of the known circle and the location of the known point - is there enough information to determine the center and radius of a circle (green) that is tangent to both the known point, the known circle AND whose own center lies on the red line indicated in the illustration?

Thanks!
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Geometry Problem.jpg
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Re: Finding center of a circle given limited infomation

Postby Guest » Thu May 30, 2024 11:31 am

Ah - found the solution - I can reflect the known circle across the uppermost red line and do the mechanical tasks for find a circle tangent to the now, 3 known objects.
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