Mathematics Problem Of the Week

Fall 2005

POW #6

Running in Circles

Ms. Bradley, the cross country and track coach, decides that she will make her runners' practice run interesting. 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 5000 meter run?

3. What is the area bounded inside the path?

Due Friday, October 7^th at Noon.

Solutions should be submitted to Dr. R. Lock's mailbox in the Math office or sent via e-mail to rlock@stlawu.edu.