Geometry

Question Analysis

The main focus is on determining the diameter of the given circle. First, we need to find the radius by identifying the center of the circle and a point on its circumference and using the distance formula. Then, we use the relationship  (where  is the diameter and  is the radius) to calculate the diameter.

Key Concept Explanation

The diameter  of a circle is twice the radius , i.e., . The radius is the distance from the center of the circle to any point on its circumference, and the distance formula between two points  and  is .

Step - by - Step Solution

1. Identify the center and a point on the circumference:

Assume the center of the circle is at  (by observing the graph). A point on the circumference could be .

2. Calculate the radius using the distance formula:

Here,