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Which statement is true for any two circles?

a. The ratio of the areas of the circles is the same as the ratio of their radii.
b. The ratio of the circumference of the circles is the same as the ratio of their radii.
c. The ratio of the areas of the circles is the same as the ratio of their diameters.
d. The ratio of the areas of the circles is the same as the ratio of their circumference.

User Tsilis
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1 Answer

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Final answer:

The correct statement for any two circles is that the ratio of their circumferences is the same as the ratio of their radii.

Step-by-step explanation:

The question relates to the properties of circles and, specifically, the relationships between various measurements within those circles. We'll explore the statement that is true for any two circles:

b. The ratio of the circumference of the circles is the same as the ratio of their radii.

To elaborate, the circumference of a circle is given by the formula C = 2πr where π is approximately 3.14159 and r is the radius. When comparing two circles with radii r1 and r2, their circumferences C1 and C2 would be 2πr1 and 2πr2, respectively. The ratio of the circumferences (C1/C2) simplifies to r1/r2, which is the ratio of their radii. Hence, statement b is correct.

User PhilChang
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