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Learning Goal

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Know the formulas for the area and circumference of a circle and use them to solve problems

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7.G.B.4

7.G.B.4 -- Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

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7.G.B.4 -- Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

What you'll learn

  1. State the formula for circumference (C = pid = 2pir) and identify what each variable represents
  2. State the formula for area of a circle (A = pir^2) and identify what each variable represents
  3. Compute circumference and area given radius or diameter, using both exact (pi) and approximate answers
  4. Informally describe why C = pid using the definition of pi as C/d
  5. Solve real-world problems involving circumference and area of circles
  6. Distinguish between circumference (a linear measure) and area (a square measure) and select the appropriate formula for a given context

Slides

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1

Area circumference circles

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Practice

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Animated Videos

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Why Every Circle Gives the Same Ratio: π and C = πd

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