Does the point (2 3 , 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Why?

Consider this option:
1.the equation of the circle using its centre and point (0;-4) is:
x²+y²=4.
2. to substitute given point (23;2) into the equation of the circle:
23²+2²≠4

answer: this point does not belongs to the circle.