What is the greatest possible number of square inches in the combined area of the twenty-five circles? Express your answer in terms of pi.

Question

Twenty-five congruent circles are cut from a 10-inch by 10-inch sheet of paper. What is
the greatest possible number of square inches in the combined area of the twenty-five
circles? Express your answer in terms of pi.

Answer 1

If each circle had radius of 1 it could fit in a square 2 x 2, so 25 could be cut from the paper.

 

Each circle has area = pi*1^2 = pi, so 25 circles would have a total area of 25 pi.