Geometry

Question Analysis

This question focuses on circles. The main goal is to find the area of the given circle. We need to determine the radius by calculating the distance between the center of the circle and a point on its circumference, and then use the formula for the area of a circle.

 

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 use the distance formula . Here, , so

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