addisongriggs40
addisongriggs40 addisongriggs40
  • 25-03-2020
  • Mathematics
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if the radius of the small circle is 1/3 the radius of the big circle ,how do their areas compare

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JunhaoZ
JunhaoZ JunhaoZ
  • 25-03-2020

Answer:

The big circle has 9 times the area of the smaller circle.

Step-by-step explanation:

We can set up a proportion, where r is the radius of the big circle. That means the smaller circle would have a radius of r/3. By the area formula for a circle we know that A=πr², so the radius for both would be squared, which gives us r² for the big one and r²/9 for the smaller one. It then becomes clear that the ratio between the two areas is 9 times.

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