Circle Area and Circumference
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Circle Area and Circumference
📐 Part 1: Formula Review and Multiple Choice
Remember: Area = π × r² and Circumference = 2 × π × r (Use π = 3.14)
✏️ Part 2: Problem Solving
Answer: _____________ square inches
Answer: _____________ inches
Answer: _____________ feet
Answer: Circle B is _____ times larger than Circle A
🎯 Part 3: Real-World Applications
Answer: $ _____________
Answer: _____________ meters
Circle Area and Circumference - Answer Key
📐 Part 1: Formula Review and Multiple Choice
Answer: B) 78.5 square inches
Work: A = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 square inches
Answer: B) 18.84 feet
Work: C = 2 × π × r = 2 × 3.14 × 3 = 18.84 feet
Answer: C) 4 inches
Work: radius = diameter ÷ 2 = 8 ÷ 2 = 4 inches
✏️ Part 2: Problem Solving
Answer: 113.04 square inches
Work: A = π × r² = 3.14 × 6² = 3.14 × 36 = 113.04 square inches
Answer: 75.36 inches
Work: C = π × d = 3.14 × 24 = 75.36 inches
Answer: 5 feet
Work: C = 2 × π × r, so r = C ÷ (2 × π) = 31.4 ÷ (2 × 3.14) = 31.4 ÷ 6.28 = 5 feet
Answer: Circle B is 4 times larger than Circle A
Work: Circle A: A = 3.14 × 4² = 50.24 sq in; Circle B: A = 3.14 × 8² = 200.96 sq in; 200.96 ÷ 50.24 = 4
🎯 Part 3: Real-World Applications
Answer: $904.32
Work: A = π × r² = 3.14 × 12² = 3.14 × 144 = 452.16 sq ft; Cost = 452.16 × $2 = $904.32
Answer: 1,256 meters
Work: C = π × d = 3.14 × 100 = 314 meters per lap; 4 laps = 314 × 4 = 1,256 meters
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