The discovery of Pi goes back a very long time, and although its origins are not commonly taught in the current age, it is still a significant contribution that is utilized everywhere and everyday. In this activity you will fill out the table below, by measuring various different round objects' circumference, diameter, and by calculating their quotient to find your own discovery on this very special day. (For more info on the history of pi click here)
Task 1: Measuring
Fill out the table below by selecting various different round objects in the room.
Task 2: Graphing
Go to www.meta-calculator.com and plot the points following these steps:
Select "Graphing Calculator"
Enter in the equation to read "y=x"
Select Plot Points on the upper left hand corner of the screen.
Enter in the points based on your table where your diameter (d) is your x-value and circumference (c) is your y-value
Scroll down and select plot points
Adjust your window, i.e. x-max and y-min to ensure you see all of your points.
Calculate its slope, by taking the change in y divided by the change in x, or by finding the rise/run.
Task 3: Reflection
After executing the tasks above answer the following questions:
What did you notice about your the answer to c/d?
What did you notice about the slope for task 2?
Did you know that such an approximation exists between the circumference and diameter?
How do you think they calculated the area of a circle in the decades before the generalization of the area of a circle? (Feel free to google this one if necessary)