Exploring Pi (π)
This worksheet introduces sixth-grade students to the concept of Pi (π), its definition, and how it relates to circles.
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Exploring Pi (π)
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Read each question carefully and answer to the best of your ability. Use 3.14 as an approximation for Pi (π) unless otherwise stated.
What is Pi (π)?
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, meaning it cannot be expressed as a simple fraction, and its decimal representation goes on forever without repeating. For most calculations, we use the approximation 3.14 or 22/7.
1. Pi (π) is the ratio of a circle's to its .
2. The approximate value of Pi (π) is .
3. An irrational number like Pi (π) cannot be expressed as a simple .
The diagram below shows a circle. Label the circumference and diameter.
4. If a circle has a diameter of 10 cm, what is its approximate circumference?
10 cm
31.4 cm
5 cm
15.7 cm
5. What is the formula for the circumference of a circle?
C = πr²
C = 2πr
C = d/π
C = πd
6. A circular swimming pool has a radius of 5 meters. What is the approximate circumference of the pool? Show your work.
7. A bicycle wheel has a diameter of 26 inches. How far does the bicycle travel in one full rotation of the wheel? (This is the circumference!) Show your work.
8. Pi (π) is an exact number that can be written as a simple fraction.
True
False
9. The symbol for Pi (π) is a Greek letter.
True
False