Write the standard equation of a circle that passes through (-2, 10) with center (-2, 6)

By definition, the standard equation of the circle is given by:
 
 Where,
 (xo, yo): coordinates of the center of the circle
 r: radius of the circle
 To find the radius of the circle, we use the formula of distance between points.
 We have then:
 
 Substituting values:
 
 
 
 
 
 
 Then, the center of the circle is:
 
 Substituting values in the general equation we have:
 
 Rewriting:
 
 
 The standard equation of the circle is: