benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Let ABCD be a rectangle with AB=8 and AD=20. Two circles of radius 5 are drawn with centers in the interior of the rectangle - one tangent to AB and AD, and the other passing throu…

Problem

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

problem

Let ABCDA B C D be a rectangle with AB=8A B=8 and AD=20A D=20. Two circles of radius 5 are drawn with centers in the interior of the rectangle - one tangent to ABA B and ADA D, and the other passing through both CC and DD. What is the area inside the rectangle and outside of both circles?
Plain-text mathematical notation (without MathML)
Let ABCD be a rectangle with AB=8 and AD=20. Two circles of radius 5 are drawn with centers in the interior of the rectangle - one tangent to AB and AD, and the other passing through both C and D. What is the area inside the rectangle and outside of both circles?
Original LaTeX notation
Let $A B C D$ be a rectangle with $A B=8$ and $A D=20$. Two circles of radius 5 are drawn with centers in the interior of the rectangle - one tangent to $A B$ and $A D$, and the other passing through both $C$ and $D$. What is the area inside the rectangle and outside of both circles?

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

task_id
830a1bfd-62d7-5877-8f66-7060a647a0c2
task_key
test--830a1bfd-62d7-5877-8f66-7060a647a0c2
task_revision_id
1
config / split
/ test

Official source

initial import