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Circle Formulas Practice

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Circle Formulas Practice

Circle with radius and diameter labeled

📐 Part 1: Circle Formula Knowledge

1. What is the formula for the circumference of a circle using radius?

C = πr

C = 2πr

C = πr²

C = 2πr²

2. What is the formula for the area of a circle?

A = 2πr

A = πd

A = πr²

A = πr

3. If a circle has a diameter of 8 units, what is its radius?

16 units

8 units

4 units

2 units

4. What does π (pi) approximately equal?

3.14

2.14

4.14

1.14

🔢 Part 2: Calculate and Solve

5. Find the circumference of a circle with radius = 3 units. Show your work.

Formula: C = _____________

Answer: C = _____________ units

6. Find the area of a circle with radius = 5 units. Show your work.

Formula: A = _____________

Answer: A = _____________ square units

7. A circular pizza has a diameter of 12 inches. What is its circumference? Show your work.

First, find the radius: r = _____________

Answer: C = _____________ inches

8. Challenge: A circular garden has a circumference of 18π feet. What is its area?

Hint: First find the radius using C = 2πr

Answer: A = _____________ square feet

💭 Part 3: Think and Explain

9. In your own words, explain the difference between circumference and area of a circle.
10. How are the formulas for circumference (C = 2πr) and area (A = πr²) similar and different? Write 2-3 sentences.

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