Which expression correctly represents circumference in terms of diameter?

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Multiple Choice

Which expression correctly represents circumference in terms of diameter?

Explanation:
Circumference scales with diameter using the constant π. For any circle, C/d = π, so if you express the standard formula C = 2πr in terms of the diameter, substitute r = d/2 to get C = 2π(d/2) = πd. That shows why C = πd is the correct expression for circumference in terms of diameter. The other forms either use the radius, give half the correct value, or incorrectly relate diameter to circumference.

Circumference scales with diameter using the constant π. For any circle, C/d = π, so if you express the standard formula C = 2πr in terms of the diameter, substitute r = d/2 to get C = 2π(d/2) = πd. That shows why C = πd is the correct expression for circumference in terms of diameter. The other forms either use the radius, give half the correct value, or incorrectly relate diameter to circumference.

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