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Which formula represents the circumference of a circle?

  1. A = πr²

  2. P = 2l + 2w

  3. c = πd

  4. r = d/2

The correct answer is: c = πd

The formula that represents the circumference of a circle is indeed c = πd, where c stands for circumference and d stands for the diameter of the circle. This formula indicates that the circumference is proportional to the diameter with π (pi) being the constant of proportionality, which is approximately 3.14. This relationship is fundamental in geometry, as it allows us to calculate the distance around a circle based on its diameter. The other formulas provided do not relate to the circumference of a circle. For instance, A relates to the area of a circle, calculated using the radius (r). The formula B represents the perimeter of a rectangle, calculated by adding twice the length and twice the width. Option D describes the relationship between radius and diameter, whereby the radius is half of the diameter, but it does not give a measure for the circumference itself.