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Circle and Area Preassessment
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Circle and Area Preassessment
🎯 Part 1: Circle Basics and Calculations
1. What is π (pi)?
The area of any circle
The ratio of circumference to diameter
The radius times 2
3.0 exactly
2. A circle has a radius of 5 inches. What is its circumference? (Use π ≈ 3.14)
Answer: ______________ inches
3. Find the area of a circle with diameter 8 feet. (Use π ≈ 3.14)
Answer: ______________ square feet
4. Which formula correctly calculates the area of a circle?
A = 2πr
A = πr²
A = πd
A = π + r²
🔧 Part 2: Composite Figures and Conversions
5. A rectangular garden is 12 feet by 8 feet with a semicircle attached to one of the shorter sides. Find the total area.
Answer: ______________ square feet
6. Convert 24 inches to feet using proportions.
Answer: ______________ feet
7. A pizza is cut into 8 equal slices. If the pizza has a radius of 9 inches, what is the area of 3 slices?
Answer: ______________ square inches
💭 Part 3: Reasoning and Explanation
8. Explain in your own words why we use π when working with circles. What makes circles different from rectangles or triangles?
9. A circular pool has a circumference of 62.8 meters. Without calculating, explain how you would find its radius. What steps would you take?
10. Circle the measurement units that would be appropriate for measuring the area of your classroom:
Square inches
Square feet
Cubic feet
Square meters
Linear feet
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