Geometry

Question Analysis

The main focus is to convert the standard - form equation of a circle (with given center and radius) to its general form and select the correct option.

 

Key Concept Explanation

The standard form of a circle equation is , where  is the center and  is the radius. The general form is . To get the general form, expand the standard - form equation.

 

Step - by - Step Solution

1. Write the standard form: Given center  and radius , the standard form is .

2. Expand the equation:

 and .

So .

3. Rearrange to general form:

.

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