Geometry

Question Analysis

The main focus is to convert the standard form of the circle equation (centered at the origin with a given radius) into the general form and select the correct option among the given choices.

 

Key Concept Explanation

The standard form of a circle centered at  with radius  is . When the center is at , it simplifies to . The general form of a circle equation is , where , , and  are constants.

 

Step-by-Step Solution

1. First, write the standard form of the circle centered at  with radius .

The standard form is .

2. Then, convert it to the general form.

Subtract 25 from both sides of the equation .

The general form is

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