Geometry

Question Analysis

This question focuses on circles. The main task is to find the diameter of the circle. We first need to find the radius by calculating the distance between the center of the circle and a point on the circle using the distance formula, and then double the radius to get the diameter.

 

Key Concept Explanation

The radius  of a circle is the distance from the center  to a point  on the circle, calculated using the distance formula . The diameter .

 

Step - by - Step Solution

1. Identify the coordinates:

The center of the circle has coordinates , and the point on the circle has coordinates .

2. Apply the distance formula to find the radius:

First, calculate  and

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