A square \(ABCD\) has an inscribed quadrant with centre \(C\). Let \(E\) be the point inside the square where the diagonal \(AC\) and arc \(BD\) intersect. The area of the shaded section is \(121\).
###### Created by Michael Fuller. Popular geometry problems: "Star Stumper", "Not your average shuriken"

Find the *ceiling* of the length of \(BE\).

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