A coin that is 8\:cm in diameter is tossed onto a 5 by 5 grid of squares each having side length 10\:cm. A coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position. Given that the coin lands in a random position so that no part of it is off the grid, what is the probability that it is in a winning position?
Answer Choices
A. \frac{25}{441}
B. \frac{1}{25}
C. \frac{1}{49}
D. \frac{5}{147}
E. \frac{4\pi}{25}