Learning Goal
Part of: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume — 1 of 3 cluster items
Know the formulas for the area and circumference of a circle and use them to solve problems
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
- State the formula for circumference (C = πd = 2πr) and identify what each variable represents
- State the formula for area of a circle (A = πr²) and identify what each variable represents
- Compute circumference and area given radius or diameter, using both exact (π) and approximate answers
- Informally describe why C = πd using the definition of π as C/d
- Solve real-world problems involving circumference and area of circles
- Distinguish between circumference (a linear measure) and area (a square measure) and select the appropriate formula for a given context
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises