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

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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:

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

b Find a function f(n, k) such that exactly cells of the board lie entirely within the circle.

Reference no: EM131328645

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