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Omni-MATH / Let AB be a segment of length 2 with midpoint M. Consider the circle with center O and radius r that is externally tangent to the circles with diameters AM and BM and internally ta…

Problem

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problem

Let ABA B be a segment of length 2 with midpoint MM. Consider the circle with center OO and radius rr that is externally tangent to the circles with diameters AMA M and BMB M and internally tangent to the circle with diameter ABA B. Determine the value of rr.
Plain-text mathematical notation (without MathML)
Let AB be a segment of length 2 with midpoint M. Consider the circle with center O and radius r that is externally tangent to the circles with diameters AM and BM and internally tangent to the circle with diameter AB. Determine the value of r.
Original LaTeX notation
Let $A B$ be a segment of length 2 with midpoint $M$. Consider the circle with center $O$ and radius $r$ that is externally tangent to the circles with diameters $A M$ and $B M$ and internally tangent to the circle with diameter $A B$. Determine the value of $r$.

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Source and history

task_id
4b78ebe8-abce-556c-aceb-6cb29e3e5090
task_key
test--4b78ebe8-abce-556c-aceb-6cb29e3e5090
task_revision_id
1
config / split
/ test

Official source

initial import