If a circle's diameter is doubled, how does the circumference change according to C = πd?

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Multiple Choice

If a circle's diameter is doubled, how does the circumference change according to C = πd?

Explanation:
The circumference scales directly with the diameter through C = πd. If the diameter becomes twice as large, substitute 2d into the formula: new C = π(2d) = 2πd, which is twice the original circumference. Intuitively, doubling all linear dimensions of a circle means its perimeter doubles as well, since the radius would also double and the circumference is 2πr. So the circumference increases by a factor of two.

The circumference scales directly with the diameter through C = πd. If the diameter becomes twice as large, substitute 2d into the formula: new C = π(2d) = 2πd, which is twice the original circumference. Intuitively, doubling all linear dimensions of a circle means its perimeter doubles as well, since the radius would also double and the circumference is 2πr. So the circumference increases by a factor of two.

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