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* This function computes the area of a series of squares and circles. Specifical

ID: 3716149 • Letter: #

Question

* This function computes the area of a series of squares and circles. Specifically, we consider a series * of squares and circles in which each successive shape is inscribed in the other. This function sums * the area of each shape and returns it. At each level of recursion, the funciton switches between oa circle being inscribed by a square, and a square being inscribed by a circle. * A circle inscribed in a square has the diameter equal to the width of a square. A square inscribed in a *circle has a diagonal length equal to the diameter of the circle. *Given a square of width x, the circle inscribed will have a radius of size x/2. Thus, it will have an area * of pi * (x/2)A2 * Given a circle of radius x, the inscribed square will have a diagonal length of size 2x. Thus, it will have a width of 2x / sartC2) -sat2)x. It will thus have an area of 2*xA2) *The function recursively computes these areas until depth1. Then the area of the last shape is *returned * @param square If the shape to compute the area for is a square or a circle. * @param length If a square, the width/height of the square. If a circle, the radius of the circle. * @param depth The recursion depth. When depth 1 the area of the final shape is computed and returned; *recursion is stopped (the base case) * ereturn The sum value of sequentially inscribed squares and circles. public static double circledSquared(boolean square, double Length, int depth)

Explanation / Answer

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