Question

what is the center of this circle?
(□, □)

Explanation:

Step1: Identify the center's x - coordinate

The center of a circle is the point that is equidistant from all points on the circle. Looking at the graph, the center lies on the x - axis between 0 and 2. By looking at the grid, the x - coordinate of the center (the green dot) is 1 (since it is 1 unit to the right of the origin on the x - axis).

Step2: Identify the center's y - coordinate

Looking at the y - axis, the center lies on the y - axis between 0 and 2? Wait, no, looking at the graph, the y - coordinate of the center (the green dot) is 1? Wait, no, wait. Wait, the green dot is at (1,1)? Wait, no, let's check again. Wait, the grid lines: each grid square is 1 unit. The center is at (1,1)? Wait, no, looking at the graph, the center (the green dot) is at (1,1)? Wait, no, let's see the coordinates. The x - axis: from 0, moving 1 unit to the right, so x = 1. The y - axis: from 0, moving 1 unit up? Wait, no, the green dot is at (1,1)? Wait, no, maybe I made a mistake. Wait, the center of the circle: in the graph, the green dot is at (1,1)? Wait, no, let's check the grid. The x - coordinate: the center is at x = 1 (since it's 1 unit to the right of the origin (0,0)). The y - coordinate: the center is at y = 1 (since it's 1 unit above the origin). Wait, no, maybe it's (1,1)? Wait, no, looking at the graph again, the center (the green dot) is at (1,1)? Wait, no, perhaps I misread. Wait, the origin is (0,0). The center is at (1,1)? Wait, no, let's count the grid squares. From the origin (0,0), moving 1 unit right (x = 1) and 1 unit up (y = 1). So the center is at (1,1). Wait, no, maybe it's (1,1). Wait, let's confirm. The circle is symmetric around the center. So the center's coordinates are (1,1). Wait, no, maybe I made a mistake. Wait, the green dot is at (1,1). So the x - coordinate is 1, y - coordinate is 1.

Answer:

(1, 1)