SOLUTION: The scale factor of two circles is 3:2. The area of the larger circle is 81(pie). Find the area of the smaller circles.

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Question 442575: The scale factor of two circles is 3:2. The area of the larger circle is 81(pie). Find the area of the smaller circles.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
If the scale factor is 3%3A2 and the area ratio is 81pi%3Ax then we can set up a proportion.
3%2F2+=+81pi+%2Fx
We can cross multiply:

3x+=+81pi+%2A+2
3x+=+162pi
highlight%28x+=+54pi%29