Identify the equation of the circle that has its center at (-16, 30) and passes through the origin. show work and explain said work/the process, !

we are given

center=(h,k)=(-16,30)

so, h=-16 and k=30

and it passes through origin (0,0)

so, radius will be distance between (-16,30) and (0,0)

now, we can use standard equation of circle

we will get

...........Answer

do you have a picture of the table