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 from the graph and then applying 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:

Assume the center of the circle is at  (by observing the grid). Let's consider a point on the circle, say  (a point on the circumference).

Since the  - coordinates of the center and the point on the circle are the same, we can use the distance formula  (when ). Here,