(circles have radii of r, 2r, and 3r)
Not really any trick today, just some basic application of formulae.
Previous iteration: #699554
Total area = π.(3r)² = π.9r² Total area of the second circle = π.(2r)² = π.4r²
Yellow areaTotal area - ⅔ of the Total area - ⅓ of Total area of second circle
π.9r² - π.6r² - π. 4/3.r²
(9 - 6 - 4/3) π.r²
5/3.π.r²
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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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