MathDB

Let unit blocks be unit squares in the coordinate plane with vertices at lattice points (points

(a, b)

such that

a

and

b

are both integers). Prove that a circle with area

\pi

can cover parts of no more than

9

unit blocks. The circle below covers part of

8

unit blocks. https://cdn.artofproblemsolving.com/attachments/4/4/43da9abed06d0feba94012ba68c177e3c2835b.png

Problem Statement