Segment Lengths in Circles

Objectives:  The students will work through an activity that will help them better understand the theorems they discovered the previous day.

Lesson:

The students will work through an activity that implements the theorems learned the previous day.

Begin by finding the unknown lengths in the following three problems.

Use the techniques from the above problems to work through the next problem.

Steve works at an aquarium.  They recently installed a cylindrical aquarium that is four floors high and Steve needs to install the cables for the filter.  They will go from the floor to the top of the aquarium at the corner of the platforms that are at each level.  In order to do this, Steve must make sure that there is enough room for the cables and the insulator that will surround them.  Steve knows that the diameter of the aquarium is 45 feet, and that the distance from the corner of the platform to the point of tangency with the tank is 14 feet.  He needs at least 3 feet between the corner and the aquarium to install the cables.  What is the distance from the corner to the aquarium?  Will he have enough room to install the cables?