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Bunuel
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Bunuel
If k:3 is the ratio of the circumference to the diameter of a circle with radius x, then what is the ratio of the circumference to the diameter of a circle with radius 2x?

A. k:3
B. k:6
C. 2k:3
D. 2k:9
E. 4k:9

The RATIO of the circumference to the diameter is always the same: circumference is always diameter*pi. The specific lengths have no impact whatsoever.
So, if that ratio is k:3 for a circle with radius x, that ratio is the same for a circle with radius 2x (or 3x or 4x or 17.1x...the radius simply won't change the ratio).

Answer choice A.
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Hey KarishmaB could you please explain this one?

Thank you in advance!!

Consider this: The radius of the circle is x.
So ratio of circumference:diameter = \(2*\pi*x : 2x = \pi : 1\)

So the ratio does not depend on the radius. For any circle, the ratio of circumference:diameter will be \(\pi : 1\) i.e. k : 3 (so k must be \(3\pi\) but that is irrelevant)

Hence for a circle with radius 2x too, this ratio will be k : 3.

Answer (A)
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