The radii of two circular fields are in the ratio 3:5. By what percentage is the area of the smaller field less than the area of the larger field?

Explanation

Since the radii are in the ratio 3:5, the areas are in the ratio 3² : 5² = 9 : 25. The difference in area is 25 - 9 = 16 parts. The percentage decrease from the larger to the smaller field is (16/25) × 100 = 64%. Therefore, the area of the first field is 64% less than that of the second.