The image below shows the locations of the food pavilion, lake, and fountain in a city park. There is a circular jogging track connecting these three points. Richard plans to construct a circle to represent the jogging track.

Part A: Using complete sentences, describe the method that he will use to construct a circle passing through the points representing the fountain, food pavilion, and the lake.

Part B: Describe a method that can be used to prove that the center of the circle is correct.

Question

The image below shows the locations of the food pavilion, lake, and fountain in a city park. There is a circular jogging track connecting these three points. Richard plans to construct a circle to represent the jogging track. 
 


Part A:  Using complete sentences, describe the method that he will use to construct a circle passing through the points representing the fountain, food pavilion, and the lake.
 
Part B:  Describe a method that can be used to prove that the center of the circle is correct.