# Around and Around We Go

by Karen Shaw
Paul Revere Middle School
Houston, Texas

• Subject Areas: Computer Literacy, Math

• Time Requirements:
• Approximately 1/2 hour Class Time
• Approximately 2 hours Computer Time

• Student Prerequisites:
• Ability to read a ruler

• Topics:
• Measuring circumference of a circle to discover pi.

• Brief Overview: Working in partners, students will measure the circumference and diameter of various round objects. They will then record this and determine the ratio of the circumference to the diameter.

• Materials Required For This Lesson:
2. Various round objects (enough so that each pair has 6)
3. String and rulers
4. Internet access

• Procedure:
1. Create the following spreadsheet and print it.

2. ### AROUND AND AROUND WE GO

NAME OF OBJECT CIRCUMFERENCE DIAMETER RATIO OF THE CIRCUMFERENCE TO THE DIAMETER

3. With your partner carefully measure the circumference and diameter of each object to the nearest 1/16th of an inch.

4. Record your finding on your spreadsheet. Remember to put an equal (=) sign in front of each fraction. The computer will change the fractions to a 2 place decimal. The number of decimal places may be changed - check with your teacher for the correct number of places.

5. Calculate the ratio of the circumference to the diameter for each object.

6. Now calculate the average of these ratios.

1. What was the average ratio of the circumference to the diameter?

2. It should be within a few decimal points of what number?

3. What may have caused your ratio to not match pi?

• Extensions
Top of the page.

(Last Update: November 16, 1997 )

This page was developed through GirlTECH '97, a teacher training and student technology council program sponsored by the Center for Research on Parallel Computation (CRPC), a National Science Foundation-funded Science and Technology Center.