The diameter of one circle is represented by 12x. The diameter of another circle is represented by 6x^2y. What is the ratio of the radii of the two circles?

Verified Answer :

12x/2=6x---------
(6x)^2y=6^2y.x^2y-------

d/2=r
\(\frac{r_1}{r_2}= \frac{ \frac{d_1}{2} }{ \frac{d_2}{2} } = \frac{d_1}{d_2}\)

so we don't even need to convert
12x:6x²y
divide both sides by 6x
2:xy
the ratio is 2:xy