Two circles have radii in the ratio 2:3. The ratio of their CIRCUMFERE…

Question

Two circles have radii in the ratio 2:3. The ratio of their CIRCUMFERENCES is:

Accepted Answer

B. 2:3

Circumference C = 2πr.
If r₁/r₂ = 2/3, then C₁/C₂ = (2πr₁)/(2πr₂) = r₁/r₂ = 2/3. Circumference scales LINEARLY with radius.
(Note: AREAS scale as the SQUARE of the ratio — areas would be 4:9. That's a common distractor.)

Answer

4:9

Answer

3:2

Answer

Cannot be determined

Two circles have radii in the ratio 2:3. The ratio of their CIRCUMFERENCES is:

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