Introduction to Pi
This worksheet introduces fifth-grade students to the concept of Pi (π), its approximate value, and its relationship to the circumference and diameter of a circle.
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Introduction to Pi (π)
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
Pi (π) is a special number in mathematics. It is the ratio of a circle's circumference (the distance around the circle) to its diameter (the distance across the circle through the center).
No matter how big or small a circle is, if you divide its circumference by its diameter, you will always get the same number: Pi!
The approximate value of Pi is 3.14.
1. Pi (π) is the ratio of a circle's to its .
2. The approximate value of Pi is .
3. The distance around a circle is called its .
4. The distance across a circle through its center is called its .
1. Which of the following is the symbol for Pi?
β
Ω
π
Σ
2. If a circle has a circumference of 31.4 units and a diameter of 10 units, what is the ratio of its circumference to its diameter?
1.57
3.14
10
31.4
1. Draw a circle and label its circumference and diameter.
2. Explain in your own words what Pi represents.
1. Pi is a whole number.
True
False
2. The value of Pi changes depending on the size of the circle.
True
False
Use the diagram below to answer the following questions.
1. In the diagram, which line represents the diameter?
2. In the diagram, which curved line represents the circumference?