Exploring Pi (π)
A Grade 9 math worksheet focusing on understanding and applying the concept of Pi in circles.
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Exploring Pi (π)
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Read each question carefully and provide your answers in the space provided. Use 3.14 for Pi unless otherwise stated.
1. Which of the following best defines Pi (π)?
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. If a circle has a diameter of 10 cm, what is its circumference?
15.7 cm
31.4 cm
78.5 cm
100 cm
3. The formula for the circumference of a circle is C = πd, where 'd' represents the .
4. The formula for the area of a circle is A = πr², where 'r' represents the .
5. Pi is an number, meaning its decimal representation never ends and never repeats.
6. A circular garden has a radius of 7 meters. Calculate its area. Show your work.
7. A bicycle wheel has a diameter of 60 cm. How far will the bicycle travel if the wheel makes 10 complete rotations? Show your work.
8. Pi is exactly equal to 3.14.
True
False
9. The circumference of a circle is always less than its diameter.
True
False
Use the words below to complete the sentences.
10. Pi is the of a circle's circumference to its diameter.
11. The distance around a circle is called its .
12. The of a circle is the distance from the center to any point on the circle.