BE smart

Geometry Level 4

A square ABCDABCD has an inscribed quadrant with centre CC. Let EE be the point inside the square where the diagonal ACAC and arc BDBD intersect. The area of the shaded section is 121121.

Find the ceiling of the length of BEBE.

Created by Michael Fuller. Popular geometry problems: "Star Stumper", "Not your average shuriken"
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