If the radius of the small circle is 1/3 the radius of the big circle ,how do their areas compare

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.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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