Acircle with center (3,5) intersects the y-axis are(0,1). find the radius of the circle, find the coordinates of the other point of intersection with the y-axis. what are the coordinates of the point of intersection of the circle and the x-axis

I would use the distance formula to solve this problem:

Distance formula: 

(x1,y1) = (3,5)
(x2,y2)= (0,1)

Plug in points to find radius:
r=
r=
r=
r=
r=
r=
r= 5 units

To find the other point on the circle that crosses the y-axis change the sign of y2.

(x1,y1) = (3,5)
(x2,y2) = (0,-1)

Where is it shown below?