benchmarks.wiki / Public workspace
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Omni-MATH / Consider a 3×3 grid of squares. A circle is inscribed in the lower left corner, the middle square of the top row, and the rightmost square of the middle row, and a circle O with ra…
Problem
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problem
Consider a grid of squares. A circle is inscribed in the lower left corner, the middle square of the top row, and the rightmost square of the middle row, and a circle with radius is drawn such that is externally tangent to each of the three inscribed circles. If the side length of each square is 1, compute .
Plain-text mathematical notation (without MathML)
Consider a 3×3 grid of squares. A circle is inscribed in the lower left corner, the middle square of the top row, and the rightmost square of the middle row, and a circle O with radius r is drawn such that O is externally tangent to each of the three inscribed circles. If the side length of each square is 1, compute r.
Original LaTeX notation
Consider a $3 \times 3$ grid of squares. A circle is inscribed in the lower left corner, the middle square of the top row, and the rightmost square of the middle row, and a circle $O$ with radius $r$ is drawn such that $O$ is externally tangent to each of the three inscribed circles. If the side length of each square is 1, compute $r$.
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Source and history
- task_id
1765744f-65d8-5fbd-b996-7a23b9085855- task_key
test--1765744f-65d8-5fbd-b996-7a23b9085855- task_revision_id
- 1
- config / split
- / test
initial import