Geometry

Question Analysis

The main focus is to analyze the equation of a circle in standard form and identify the center and radius, then check each statement against the correct values.

Key Concept Explanation

The standard form of a circle's equation is , where  is the center of the circle and  is the radius.

Step - by - Step Solution

1. Identify the center and radius from the equation:

Given the equation , we can rewrite  as . So, comparing with , the center of the circle is  and the radius .

2. Analyze each statement:

A."The x-coordinate of the center is ": Since the center is , the x-coordinate is , so this statement is true.

B."The y-coordinate of the center is ": Since the center is

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