benchmarks.wiki / Public workspace

Omni-MATH / Two concentric circles have radii r and R>r. Three new circles are drawn so that they are each tangent to the big two circles and tangent to the other two new circles. Find (R)/(r)…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Two concentric circles have radii rr and R>rR>r. Three new circles are drawn so that they are each tangent to the big two circles and tangent to the other two new circles. Find Rr\frac{R}{r}.
Plain-text mathematical notation (without MathML)
Two concentric circles have radii r and R>r. Three new circles are drawn so that they are each tangent to the big two circles and tangent to the other two new circles. Find (R)/(r).
Original LaTeX notation
Two concentric circles have radii $r$ and $R>r$. Three new circles are drawn so that they are each tangent to the big two circles and tangent to the other two new circles. Find $\frac{R}{r}$.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import