11.6 Areas of Circles and the Number Pi

We spoke in class briefly about the constant Pi, and how it represents the relationship between the circumference and the diameter of a circle.

Try out the interactive activity here. It will help to read the instructions first. Your goal is to use the Investigation tab to discover the relationships among area, circumference, radius and diameter. Use the X/Y tool to divide values, and choose which pair of numbers you want to evaluate. After you spend a little time exploring, submit your answers to the following questions using the form below: *Please start your response with 11.6- to make them easier for me to sort and read. Thanks!

Can you determine the relationship between…

  • …radius and circumference?
  • …diameter and circumference?
  • What other interesting things do you notice?

Submit your answer to the following in the form below. Please start your response with Area- to make them easier for me to read over. Thanks!

Go to the link below and type in the code. The Desmos activity, called Penny Lab, will walk you through an activity on exploring the relationship between radius and area of a circle. (answers submitted through penny lab will go to me.) You will also be able to see your classmates' data on the site, if they submit data before you. You are going to want at least ten data points to make sure that you can see the patterns.

It will also help you complete problem number 13 on page 617 of your textbook, which you will turn in to me when I return.

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