Question

find equation of circle with a center of (0,5) passing through the origin

Answer 1

x^2 + (y+5)^2 = 25

Answer 2

so it should be -5 not +5

Answer 3

that's right... IMAO

Answer 4

the circle passes through (0,0)
the radius of the circle is the distance between the center (0,5) and (0,0)
\[d=r=5\]\[\left( x-a \right)^{2}+\left( y-b \right)^{2}=r^{2}\]\[\left( x-0 \right)^{2}+\left( y-5 \right)^{2}=5^{2}\]\[x^{2}+\left( y-5 \right)^{2}=25\]