Find by double integration, the centre of gravity of the area of the cardioid
r=a (1 + cos 6).
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Find the area inside the cardioid r = 1 + cos θ. Answer: The cardioid is so-named because it is heart-shaped. Using radial stripes, the limits of integration are (inner) r from 0 to 1 + cos θ; (outer) θ from 0 to 2π.
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