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(circles have radii of r, 2r, and 3r)

Not really any trick today, just some basic application of formulae.

Previous iteration: #699554

Area of circle: πr^2
Under assumption that circles are split into thirds:
Outside band has area of biggest circle minus second biggest circle. Then divide by three.

3A = π(3r)^2 - π(2r^2) = (9π-4π)r^2 = 5πr^2

A = (5πr^2)/3

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Yesterday's answer: #700787

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