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A circle with radius r and centred at (0,0) is given parametrically by x = r cost, y = r sint, 0 t 2.

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A circle with radius r and centred at (0,0) is given parametrically by x = r cost, y = r sint, 0 t 2. Using the parametric equations, evaluate an appropriate integral to verify that the surface area of a sphere is given by 47.

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