A circle has a radius of 3 feet. A bigger circle is created so that has a ratio of radii is 4:7 with the smaller circle. What is the ratio of the circumferences? *

Step-by-step explanation:

Given that the circle has a radius of 3 feet . And a bigger circle is created so that the ratio of radii of the two circles is 4 : 7 . And we need to find the ratio of the circumferences .

Now we know that the circumference of the circle is given by ,

Now let the circumference of the first circle be and the circumference of the second circle be .

Finding the ratios :-

Hence the ratio of the circumferences is same as that of the radius .

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step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)