A circle with center (1,5) and radius of 5 is graphed below with a square inscribed in the circle. Part A: Write the equation of the circle. Part B: Prove algebraically point B(4, 1) is on the circle. Part C: The general form of the equation of circle A is 22 + y? – 2x – 10y +1 = 0. Liam was asked to confirm by completing the square that this is the equation of circle A. His work is below: x* + y* - 2x -10y +1 = 0 x* + ye -2x -10y = - x*-2x +L+ y2-10g+25 s-1 20 re-arrange and 1) move the comtant complete the square 3) write in factored form Liam knows he has made a mistake because the radius is 5 and his equation is equal to 1. Find his mistake and correct it. Explain how he knew it should not equal -1.

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