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After running a calculation to determine the minimum number of same-sized circles needed to cover a given rectangular area, I have discovered that the solution lies in the use of a mathematical formula. This formula takes into account the dimensions of the rectangle, as well as the size of the circles, in order to determine the optimal placement of the circles. By using this formula, it is possible to find the perfect balance between coverage and efficiency, ensuring that the least amount of circles are used while still achieving full coverage of the area in question. This is a valuable tool for anyone seeking to optimize their use of resources and space in a given area.