Geometry

Question Analysis

This question is about circles. The key is to find the area of the given circle. We must first identify the radius by looking at the center and a point on the circle in the coordinate grid, and then apply the area formula.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Determine the radius:

Assume the center of the circle is at . Let's say a point on the circle is .

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

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