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Circle Formulas and Relationships
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Circle Formulas and Relationships
📐 Part 1: Circle Formula Knowledge
1. What is the formula for the circumference of a circle using radius?
C = πr²
C = 2πr
C = πd²
C = πr
2. What is the formula for the area of a circle?
A = 2πr
A = πd
A = πr²
A = π²r
3. If a circle has a diameter of 8 units, what is its radius?
Radius = _______ units
4. Complete the formula: C = πd is the same as C = _______
πr
2πr
πr²
π²r
🔢 Part 2: Calculate and Solve
5. Find the circumference of a circle with radius = 3 units. Leave your answer in terms of π.
Answer: C = ____________
6. Find the area of a circle with radius = 5 units. Leave your answer in terms of π.
Answer: A = ____________
7. A circular pizza has a diameter of 12 inches. What is its circumference? Use π ≈ 3.14
Answer: C ≈ ____________ inches
8. Which measurement is larger for a circle with radius 4 units: the circumference or the area? Show your work.
Circumference = ____________
Area = ____________
The ____________ is larger.
💭 Part 3: Understanding Relationships
9. Explain in your own words: What is the difference between circumference and area of a circle?
10. Look at the formulas C = 2πr and A = πr². How do you think these formulas are related? What do you notice about how radius is used in each?
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