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According to the formula A= πr^2 , for a circle of radius 1, the area of the circle will be equal to π. Therefore, if we can use Monte Carlo to approximate the area of the circle, we can find an estimate for π. Write a function calculate_pi that accepts a sample of x and corresponding y coordinates as arguments and returns an estimate for (since we want to calculate for various sample sizes, it will be useful for it to be a function). To simplify things, we will only consider a single quadrant of the unit circle (see gif above). Therefore, the area of the full circle will be 4 times the area we calculate for the single quadrant (and your function should take this into account).

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According to the formula A= πr^2 , for a circle of radius 1, the area of the circle will be equal to...

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