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A circular target is divided into nine parts of equal area by eight concentric rings. If the radius of the target is 27 cm, find the radius of the inner circle.

What is the ratio of the area of the inner circle to the area of the whole target?

What is the ratio of the dimensions of the inner circle to the dimensions of the whole target?

What is the radius of the inner circle, in cm?

I usually understand math, but today, I'm having some trouble.

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Karlos
2 answers

  1. The 8 circles divide the target into 9 parts, so you want the area of each ring to be 729π/9 = 81π
    So, the inner circle must have radius 9, since its area must also be 81π
    You should be able to answer the questions now

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    oobleck

  2. Could you elaborate a little more, I still don't understand.

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    David

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