Geometry

Question Analysis

This question focuses on circles. The key is to find the radius of the given circle from the coordinate grid and then use the circumference formula.

 

Key Concept Explanation

The formula for the circumference  of a circle is , where  is the radius, representing 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 of the center and the point on the circle 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 . Here,

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