Exploring Pi (π)
A Grade 11 math worksheet exploring the concept of Pi, its calculation, and applications in geometry.
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Exploring Pi (π)
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. In your own words, define Pi (π) and explain its significance in mathematics.
2. A circular garden has a diameter of 14 meters. What is its circumference? (Use π ≈ 3.14)
21.98 m
43.96 m
615.44 m
153.86 m
3. Calculate the area of a circular swimming pool with a radius of 5 meters. (Use π ≈ 3.14)
15.7 m²
31.4 m²
78.5 m²
157 m²
4. Pi is an number, meaning its decimal representation never terminates and never repeats.
5. The value of Pi is approximately .
6. A car tire has a radius of 0.3 meters. How far does the car travel if the tire makes 100 complete rotations? (Show your work and use π ≈ 3.14)
7. Pi can be expressed as a simple fraction.
True
False
8. The ratio of a circle's circumference to its diameter is always constant.
True
False
9. Explain how ancient mathematicians might have approximated the value of Pi without modern calculators. Describe one method in detail.