Exploring Pi (π)
A Grade 7 math worksheet focusing on understanding Pi, its definition, and its application in calculating circumference and area of circles.
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Exploring Pi (π)
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Read each question carefully and provide your best answer. Show all your work for calculations.
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 its decimal representation never ends and never repeats. For most calculations, we approximate Pi as 3.14 or 22/7.
1. What does Pi (π) represent in relation to a circle?
The area divided by the radius
The circumference divided by the diameter
The diameter multiplied by the radius
The radius squared
2. Which of the following is the most common approximation for Pi?
3.10
3.14
3.00
2.14
3. The of a circle is the distance around its edge.
4. The of a circle is the distance across the circle through its center.
5. Pi is an number, meaning its decimal representation never ends and never repeats.
6. A circular swimming pool has a diameter of 10 meters. What is its circumference? Use π ≈ 3.14.
7. A bicycle wheel has a radius of 30 cm. What is the circumference of the wheel? Use π ≈ 3.14.
8. A circular garden has a radius of 5 meters. What is the area of the garden? Use π ≈ 3.14.
9. A circular pizza has a diameter of 12 inches. What is the area of the pizza? Use π ≈ 3.14.
10. Pi is a rational number.
True
False
11. The formula for the circumference of a circle is C = πr².
True
False
12. Explain in your own words why Pi is important in mathematics.