maths Maths Puzzle

Find the area of the largest semicircle that can be inscribed in the unit square.

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maths Other Question

Let a, b, and n be positive integers, with a not equal to b. Show that n divides an − bn implies n divides (an − bn)/(a − b). Two players take turns choosing one number at a time (without replacement) from the set {−4, −3, −2, −1, 0, 1, 2, 3, 4}. The first player to obtain three numbers (out of three, four, or five) which sum to 0 wins.Does either player have a forced win?