Question

what is the radius of this circle?

Explanation:

Step1: Observe the grid

The circle is on a grid where each square has a side length of 1 unit (since the x and y axes have integer markings with 1 unit between each mark).

Step2: Determine the radius

Looking at the circle, from the center (which is at (-1, 6) approximately, but visually, the distance from the center to the edge of the circle spans 1 unit (since the circle fits within 2 units horizontally or vertically from the center? Wait, no, looking at the grid, the circle's diameter seems to be 2 units (from x=-2 to x=0, for example, or y=5 to y=7), so the radius is half of the diameter. Wait, actually, looking at the circle, the center is at (let's see, the green dot is at x=-1, y=6). The circle extends from x=-2 to x=0 (so that's 2 units in diameter, so radius is 1) or from y=5 to y=7 (also 2 units diameter, radius 1). So the radius is 1 unit? Wait, no, maybe I miscounted. Wait, the grid lines: each square is 1 unit. The circle's center is at (let's check the coordinates: the x-axis has -2, -1, 0, etc. The center is at x=-1, y=6. The circle's edge is at x=-2 (1 unit left of center) and x=0 (1 unit right of center), so the radius is 1 unit? Wait, no, maybe the circle has a radius of 1? Wait, no, looking at the circle, it's a small circle. Wait, maybe the radius is 1? Wait, let's see: the distance from the center to the edge is 1 grid unit. So the radius is 1. Wait, but maybe I made a mistake. Wait, the center is at ( -1, 6 ). The circle goes from x=-2 to x=0 (so that's 2 units, diameter 2, radius 1) and y=5 to y=7 (diameter 2, radius 1). So the radius is 1. Wait, but maybe the radius is 1? Wait, no, maybe the grid is such that each square is 1 unit, so the radius is 1. Wait, but let's check again. The center is at ( -1, 6 ). The circle's leftmost point is at x=-2 (1 unit left of center), rightmost at x=0 (1 unit right), top at y=7 (1 unit up), bottom at y=5 (1 unit down). So the radius is 1.

Answer:

1