Which formula gives the circumference of a circle in terms of its diameter?

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Multiple Choice

Which formula gives the circumference of a circle in terms of its diameter?

Explanation:
To express the circumference using the diameter, use the radius relationship with the standard formula. Since diameter d equals 2r, substitute r = d/2 into C = 2πr to get C = 2π(d/2) = πd. So the circumference is π times the diameter. The other forms either involve the radius directly (C = 2πr), describe area (C = πr^2), or give an incorrect relationship (C = d/π).

To express the circumference using the diameter, use the radius relationship with the standard formula. Since diameter d equals 2r, substitute r = d/2 into C = 2πr to get C = 2π(d/2) = πd. So the circumference is π times the diameter. The other forms either involve the radius directly (C = 2πr), describe area (C = πr^2), or give an incorrect relationship (C = d/π).

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