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Circle Formulas and Pi
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Circle Formulas and Pi
📐 Part 1: Circle Vocabulary and Formulas
1. Which part of a circle is the distance from the center to any point on the circle?
Diameter
Radius
Circumference
Area
2. What is the approximate value of Pi (π)?
2.14
3.14
4.14
6.28
3. Fill in the blanks with the correct circle formulas:
Circumference = _____________ × π × r
Area = π × _______________
4. If a circle has a radius of 4 inches, what is its diameter?
2 inches
4 inches
8 inches
16 inches
🧮 Part 2: Calculating with Circle Formulas
5. Find the circumference of a circle with radius = 3 feet. Use π = 3.14. Show your work.
6. Calculate the area of a circle with radius = 5 inches. Use π = 3.14. Show your work.
7. A circular garden has a diameter of 12 feet. How much fencing is needed to go around the entire garden? Show your work.
8. A circular table top has a radius of 2 feet. What is the area of the table top that needs to be painted? Show your work.
🤔 Part 3: Critical Thinking
9. Explain in your own words what Pi (π) represents and why it's important for measuring circles.
10. A pizza has a radius of 6 inches. If you want to put a border of cheese around the edge, would you use the circumference or area formula? Explain your reasoning.
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