How do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the area of the circle and square is the same.

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CCSS: Designed
Instructional Ideas

  • Have pupils create a table estimating area and perimeter of the figures at different points
  • Use string to cover the area of a square and circle with equal perimeters; compare their lengths
Classroom Considerations

  • Expects a strong understanding of perimeter and area of circles and squares

  • Includes an interactive component
  • Provides cues for questions throughout the lesson

  • None