SOLUTION: Express the ratio of the area of the larger circle to the area of the smaller circle in simplest radical form. Radius of larger circle is 2 + sqrt of 3 Radius of smaller circle i

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Question 824332: Express the ratio of the area of the larger circle to the area of the smaller circle in simplest radical form.
Radius of larger circle is 2 + sqrt of 3
Radius of smaller circle is 2 - sqrt of 3
Advance Thanks to whoever answers :)
Answer by jsmallt9(3759)   (Show Source): You can put this solution on YOUR website!
The formula for area of a circle is:

So the area for the larger circle will be:

Using the pattern to square the radius:

Simplifying...



Repeating this for the smaller circle:

Using the pattern to square the radius:

Simplifying...



Now we find the ratio of these areas:

Simplifying... The 's cancel:

This may be an acceptable answer.

But it does have a square root in the denominator. Usually denominators should be rationalized:

Using the pattern on top and the pattern on the bottom:

Simplifying...
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