Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P. R(0, 4), S(6, 2), T(4, -4), and U(-2, -2)

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1. Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P. R(0, 4), S(6, 2), T(4, -4), and U(-2, -2)