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Circle Area and Circumference

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Circle Area and Circumference worksheet preview

Circle Area and Circumference

Circle with radius and diameter labeled

📐 Part 1: Circle Formulas and Calculations

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

A = πr

A = πr²

A = 2πr

A = πd

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

C = πr²

C = 2πr

C = πr

C = 4πr

3. Find the circumference of a circle with radius = 5 inches. Use π = 3.14.
4. Find the area of a circle with radius = 6 feet. Use π = 3.14.
5. A circle has a diameter of 12 inches. What is its circumference? Use π = 3.14.

🧮 Part 2: Problem Solving

6. A pizza has a radius of 8 inches. What is the area of the pizza? Use π = 3.14.
7. A circular garden has a circumference of 31.4 feet. What is the radius of the garden? Use π = 3.14.
8. Which circle has the larger area?

Circle A: radius = 4 inches

Circle B: diameter = 6 inches

Circle A

Circle B

They are equal

Show your work:

💭 Part 3: Critical Thinking

9. If you double the radius of a circle, what happens to its area?

The area doubles

The area triples

The area becomes 4 times larger

The area stays the same

10. Explain in your own words the difference between area and circumference of a circle.

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