In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (0, 1) and a radius of 2. Some points, such as the center (0, 1), are inside the circle, but a point such as (0, 3) is on the circle but not in the circle. How many lattice points are in circle C?	Select.
A) 9 B) 27 C) 2 D) 15 E) 7
The lattice points that are in the circle, that lie on the x and y axes, are (0, 1), (0, 2), (0, 0), (1, 1), and (-1, 1). The lattice points in the circle and not on the x and y axes are (-1, 0), (-1, 2), (1, 0), and (-1, 2).   There are a total of 9 lattice points in the circle.   9nswer: 9
<result>A</result>
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (0, 1) and a radius of 2. Some points, such as the center (0, 1), are inside the circle, but a point such as (0, 3) is on the circle but not in the circle. How many lattice points are in circle C?