Find the equation of the circle that passes through the origin and has its center at (−3, 4)

Question

How do find that

Answer 1

Its radius must be the distance from (-3,4) to (0,0).

 

r² = (-3 - 0)² + (4 - 0)² = 9 + 16 = 25 = 5²

 

[x - (-3)]² + (y - 4)² = 5²

 

(x + 3)² + (y - 4)² = 5²