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Intermediate

Lunar ratios

A circle of radius r is interior-tangent to the larger yellow circle of radius R, with diameters overlapping. Express s/k in terms of r and R.

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Solution

s/k=(R-r)/(2r-R).

Solution by yifs.

AB/BC=DE/CE
s/k=(R-r)/(2r-R)

More solutions: https://x.com/Mirangu1/status/1920415943735267479

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