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?

For the solutions to the above problems, click here. For a
Word document of this activity, click here.

__Conclusion__: Have the students discuss the solutions
they found for the activity and the methods they used to solve the
problems.

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Next: Day 10

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