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A circle, 2n - 1 units in diameter, has been drawn symmetrically on a 2n × 2n chessboard, illustrated here for n = 3:

908_1da8818e-791e-4af9-82fc-e2400cf7b3af.png

a How many cells of the board contain a segment of the circle?

b Find a function f(n, k) such that exactly 2370_d754ad0d-f507-45ca-beae-43e102b876e6.pngcells of the board lie entirely within the circle.

Computer Engineering, Engineering

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