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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-> 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...