A circular field and a square field have the same perimeter. If the area of the square field is 484 square meters, what is the diameter of the circular field?
Explanation
The square's area is 484 sq.m, so its side length is √484 = 22 m. The perimeter of the square is 4 × 22 = 88 m. Since the circle's perimeter (circumference) is equal to 88 m, we have 2πr = 88, which gives r = 88/(2π) = 14 m. Therefore, the diameter is 2 × 14 = 28 m.