A circle with center 7 2 and radius of 13 is graphed below

Last updated: 4/24/2023

A circle with center 7 2 and radius of 13 is graphed below WILII the circle 10 B Part A Write the equation of the circle Part B Prove algebraically that point B 12 14 is on the circle Part C The general form of the equation of circle A is x y 14x 4y 116 0 Liam was asked to confirm by completing the square that this is the equation of circle His work is below x y 14x 4y 116 0 1 move the constant x y 14x 4y 116 x 14x 49 y 4g 4 116 2 re arrange and x 7 y 2 116 complete the square 3 write in factored form Liam knows he has made a mistake because the radius is 13 and his equation is equal to 116 Explain his mistake and correct it Explain how he knew it should not equal