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Omni-MATH / Let ABC be a triangle with CA=CB=5 and AB=8. A circle ω is drawn such that the interior of triangle ABC is completely contained in the interior of ω. Find the smallest possible are…

Problem

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problem

Let ABCA B C be a triangle with CA=CB=5C A=C B=5 and AB=8A B=8. A circle ω\omega is drawn such that the interior of triangle ABCA B C is completely contained in the interior of ω\omega. Find the smallest possible area of ω\omega.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with CA=CB=5 and AB=8. A circle ω is drawn such that the interior of triangle ABC is completely contained in the interior of ω. Find the smallest possible area of ω.
Original LaTeX notation
Let $A B C$ be a triangle with $C A=C B=5$ and $A B=8$. A circle $\omega$ is drawn such that the interior of triangle $A B C$ is completely contained in the interior of $\omega$. Find the smallest possible area of $\omega$.

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Source and history

task_id
1d6d7c11-5c8a-5001-a646-da90d9957411
task_key
test--1d6d7c11-5c8a-5001-a646-da90d9957411
task_revision_id
1
config / split
/ test

Official source

initial import