Geometry

Question Analysis

This question focuses on circles. The main task is to find the area of the given circle, which requires determining the radius based on the center and a point on the circle, and then applying the circle - area formula.

 

Key Concept Explanation

The formula for the area  of a circle is , where  is the radius of the circle. The radius is the distance from the center of the circle to any point on its circumference.

 

Step - by - Step Solution

1. Determine the radius:

The center of the circle is at  and a point on the circle is .

Since the  - coordinates are the same, we can find the radius using the distance formula for points with the same  - value. The distance  between two points  and  is  (when

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