The equation of a circle can be written as
(x−h)2+(y−k)2=r2 where
(h,k) are the coordinates of the center of the circle and r is the radius of the circle.
Since the coordinates of the center of the circle are (0, 4), the equation is
x2+(y−4)2)=r2 The radius of the circle is the distance from the center,
(0,4), to the given endpoint of a radius
(,5).
By the distance formula
.
Therefore, an equation of the given circle is
x2+(y−4)2=Choice B is incorrect; it results from the incorrect equation
(x+h)2+(y+k)2=r2.
Choice C is incorrect; it results from using r instead of
r2 in the equation for the circle.
Choice D is incorrect; it results from using the incorrect equation
(x+h)2+(y+k)2=