[All Steps] A circle of radius has area A=π r^2. If a random circle has a radius that is uniformly distributed on the interval (0, 1), what are the mean


Question: A circle of radius has area \[A=\pi \text{ }{{r}^{2}}\] . If a random circle has a radius that is uniformly distributed on the interval (0, 1), what are the mean and variance of the area of the circle?

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