Understanding Pi Worksheet
Explore the concept of Pi, its definition, approximation, and application in calculating circumference and area of circles for Grade 8 math.
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Understanding Pi
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Read each question carefully and provide your answers in the space provided. Show all your work where applicable. Use 3.14 for Pi unless otherwise specified.
1. What does the mathematical constant Pi (π) represent?
The area of a circle
The radius of a circle
The ratio of a circle's circumference to its diameter
The diameter of a circle
2. Which of the following is the most common approximation for Pi?
2.14
3.14
3.00
4.14
3. The formula for the circumference of a circle is C = or C = .
4. The formula for the area of a circle is A = .
5. A circular garden has a diameter of 10 feet. Calculate its circumference. (Use π ≈ 3.14)
6. A circular swimming pool has a radius of 7 meters. Calculate its area. (Use π ≈ 22/7)
7. Pi is an irrational number, meaning its decimal representation never ends and never repeats.
True
False
8. A car tire has a radius of 15 inches. How many feet does the car travel if the tire makes 100 complete rotations? (Use π ≈ 3.14. Round to the nearest foot.)