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Which formula correctly expresses the radius in terms of the diameter?

  1. r = d × 2

  2. r = d / 2

  3. r = d

  4. r = d + 2

The correct answer is: r = d / 2

The correct relationship between the radius and the diameter of a circle is that the radius is half the diameter. This means that if you have the diameter, you can find the radius by dividing the diameter by 2. Therefore, the formula that correctly expresses the radius in terms of the diameter is r = d / 2. This understanding is based on the definitions of these two measurements: the diameter is the full width of the circle, passing through the center, while the radius extends from the center to the edge of the circle, which is precisely half of the diameter.