Problem of the Week


Solutions due by high noon on Friday, October 23rd.

A cross country and track coach decides that she will make her runners' practice run interesting this week. On a large field, she draws 16 circles, as shown below. She tells the runners that each circle has a radius of 7 meters. She then tells them that they are going to run the path shown by the red/bold parts of the circles.

1.   How far will her team run to complete one lap?

2.   How many laps will her team need to run to simulate a 5k run (5000 meters)?

3.   What is the area bounded inside the path?

Brought to you by Dr. Robin Lock.

Submit your solutions to Dr. Maegan Bos. You may leave a hard copy in her mailbox or submit an electronic file via Sakai.  Good luck!

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Official Rules


Problems for Fall 2015