Question

what is the diameter of this circle?

Explanation:

Step1: Determine the radius from the graph

Looking at the circle on the coordinate grid, the center is at (6, 4). The circle extends from x = 3 to x = 9 (or y = 1 to y = 7). The distance from the center (6, 4) to the edge (e.g., x = 3 or x = 9) is 3 units (since \(|6 - 3| = 3\) or \(|9 - 6| = 3\)). So the radius \(r = 3\).

Step2: Calculate the diameter

The formula for the diameter \(d\) of a circle is \(d = 2r\). Substituting \(r = 3\) into the formula, we get \(d = 2\times3 = 6\).

Answer:

6