Exploring Pi (π)
A Grade 7 worksheet to help students understand the concept of Pi, its relationship to circles, and how to calculate circumference and area.
Includes
Standards
Topics
Exploring Pi (π)
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. 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. Pi (π) is the ratio of a circle's to its .
2. Pi is an number, which means its decimal representation never ends and never repeats.
3. A common approximation for Pi is .
4. Which of the following formulas uses Pi?
Area of a square
Perimeter of a rectangle
Circumference of a circle
Volume of a cube
5. A circular swimming pool has a diameter of 10 meters. Calculate its circumference. (Use π ≈ 3.14)
6. A pizza has a radius of 15 cm. What is the area of the pizza? (Use π ≈ 3.14)
7. The value of Pi is exactly 3.14.
True
False
8. The circumference of a circle is the distance around it.
True
False
9. A circular garden has a circumference of 31.4 feet. What is the approximate diameter of the garden? (Use π ≈ 3.14)
10. If the area of a circular rug is 78.5 square feet, what is its radius? (Use π ≈ 3.14)