Geometry

Question Analysis

The main focus is to transform the given circle equation from general form  to standard form  by completing the square for the  - terms, then determine the radius .

 

Key Concept Explanation

The general form of a circle's equation is . To find the radius, we use the method of completing the square. For the quadratic expression , we add  to complete the square. In the standard form ,  represents the radius of the circle.

 

Step-by-Step Solution

1. Given the equation . Since there is no  - linear term, we focus on the  - terms.

2. For the  - terms , the coefficient of  is . Half of  is

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