Understanding Pi Worksheet
Explore the concept of Pi by investigating the relationship between a circle's circumference and its diameter.
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Understanding Pi
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Read each question carefully and answer to the best of your ability. Show your work for all calculations.
What is Pi?
Pi (π) is a special number that represents the ratio of a circle's circumference (the distance around the circle) to its diameter (the distance across the circle through its center). No matter how big or small a circle is, this ratio is always the same, approximately 3.14159.
1. In your own words, explain what Pi represents in relation to a circle.
2. Look at the circle below. If the diameter of the circle is 5 units, approximately what is its circumference? Use π ≈ 3.14.
3. The distance around a circle is called its .
4. The distance across a circle through its center is called its .
5. Pi is approximately equal to .
6. The value of Pi changes depending on the size of the circle.
True
False
7. Which of the following formulas is used to calculate the circumference of a circle?
C = π + d
C = π - d
C = π × d
C = π ÷ d