hello :
let : w(-3,2) , A(6,4)
an equation of the circle Center at the A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a =-3 and b = 2
r = Aw
r² = (Aw)²
r² = (6+3)² +(4-2)² = 81+4=85
an equation of the circle that satisfies the stated conditions.
w(-3;2), passing through A(6, 4) is : (x+3)² +(y-2)² = 85