MathDB
2010 Geometry #3

Source:

January 2, 2024
geometry

Problem Statement

For 0≤y≤20\leq y\leq 2, let DyD_y be the half-disk of diameter 2 with one vertex at (0,y)(0,y), the other vertex on the positive xx-axis, and the curved boundary further from the origin than the straight boundary. Find the area of the union of DyD_y for all 0≤y≤20\leq y\leq 2.
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