Some amount of oil is spilled onto the surface of an ocean due to an oil-tanker accident. The oil spot then spreads away on the sea surface. The radius, R, of the oil spot in kilometers, 24 hours after the accident, has density function fR(r) = 3 4 {1 − (20 − r) 2 }, 19 ≤ r ≤ 20 Assuming that the area covered by the oil spot is circular, find the density function for the size of this area
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