Question

3)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.

Answer 1

@phi @satellite73 @Directx

Answer 2

The clue to how to do this is here
http://www.regentsprep.org/Regents/math/geometry/GP14/CircleChords.htm

If the 3 points are on the circle (draw a circle and mark 3 points representing the fountain, pavilion and lake), you can connect any pair to form a chord. bisect a chord with a perpendicular bisector. do this for two different chords. Where do the perpendicular bisectors meet ? (See theorem 3 in the above link)