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Calculating Circumference

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

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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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