Geometry

Question Analysis

The main focus is to use the standard form of the circle equation to find the equation of a circle given its center and radius.

 

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 values of , , and :

Given the center , we have  and . The radius .

2. Substitute the values into the standard form:

Substitute into . We get .

Simplifying, .

 

Option Analysis

A.: Incorrect. The  - coordinate of the center should be  (not ) and the

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