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Calculating Circumference

Conduct a hands-on activity measuring circumference and diameter of real objects to understand the relationship with Pi. Discover patterns, symbol, and formula related to Pi. Reflect on calculations and estimations using Pi in real-world scenarios.

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Calculating Circumference

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  1. Calculating Circumference

  2. Circumference Defined Circumference is the boundary of a circle or the length of this boundary.

  3. Copy the following chart in your Notes: • Draw 3 circles of random size on the chart paper provided. • Measure the circumference of each (using string) and record • Measure the diameter* of each and record. • Complete the last 3 columns of the table.

  4. Do you Notice Any Patterns?

  5. Do you Notice Any Patterns? • Circumference ÷ diameter was always really really close to 3. This shows that approximately 3 diameters will equal the circumference

  6. Online Activity Google Search Ontario Education Resource Bank login with username: pdsbstudent pwd: oerbs Simple Search activity # ELO1476960 Click on preview Click content Click next Click “Pi, Please with a side of a baseball” (this is your activity) The next slide will let you know what to do as you work through the learning experience

  7. Pi Please, with a Side of Baseball • Record the diameter and circumference of each of the 3 objects (the puck, the golf ball and the pop can) • What is the relationships between diameter and circumference? • Write the symbol for pi, the numerical value of pi, and a definition of pi • Copy and complete question 5

  8. Reflection Questions: • Do you notice any patterns? • How would you calculate the circumference of a circle if you knew only its radius? • If you knew the circumference of a circle, how would you estimate its diameter? • Why would you use a formula to determine the circumference of a circle, rather than measuring the circumference?

  9. Pi (π) Pi (π) is the ratio of the circumference to the diameter or the number of times the diameter of a circle divides the circumference. Its value is 3.141 592 654… or about 3.14, rounded to two decimal places. The formula for the circumference (C) of a circle with diameter (d) is C = πd The formula for the circumference of a circle with radius (r) is C = 2 πr

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