Geometry

Question Analysis

The main focus is on determining the circumference of the given circle. First, we need to find the radius by identifying the center of the circle and a point on its circumference and using the distance formula. Then, we use the formula (where is the circumference and is the radius) to calculate the circumference.

 

Key Concept Explanation

The circumference of a circle is given by the formula , where is the radius of the circle. The radius is the distance from the center of the circle to any point on its circumference, and the distance formula between two points and is .

 

Step - by - Step Solution

1. Identify the center and a point on the circumference:

Assume the center of the circle is at (by observing the graph). A point on the circumference could be .

2. Calculate the radius using the distance formula:

Here,

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