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Area of Circles

Explore the formula for the area of a circle, by cutting it into sectors and rearranging the sectors to form a figure close to a parallelogram. By increasing the no. of sectors, students observe that the figure tends to a rectangle and get the formula for the area of the circle by finding the area of this rectangle.

See also how I design the applets in http://www.geogebratube.org/material/show/id/15215.
　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　Anthony Or. Education Bureau, Hong Kong.
　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　orchiming@gmail.com
（繁體中文版：http://www.geogebratube.org/material/show/id/550）
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Shared by orchiming —

This material is licensed under Creative Commons: Attribution Share Alike.

 
Material Type
Worksheet
Tags
geometry  circle  proof  calculus  area  limit  calculus  integration  integral  circumference  sector 
Target group (age)
11-14
Language
English (UK)
 
 

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Comments (22)

  • The flip over of the wedges is very nice!
    • — Shared by LFS
    • Thank you!
      • — Shared by orchiming
  • Excelente recurso.
    • Muchas gracias!
      • — Shared by orchiming
  • Superb!
    • — Shared by Tom Healy
    • Thank you very much!
      • — Shared by orchiming
  • Super! Super! Super! Dla dzieciaków jak znalazł. (For children extra.)
    • — Shared by Agama
    • Dziękuję bardzo!
      • — Shared by orchiming
  • This is the best way to show other teachers why geogebra is so sweet.
    • — Shared by Kainurm
    • Agree! GeoGebra is sweet indeed.
      • — Shared by orchiming
  • Obrigada! É um recurso Fantástico para manipular com alunos!
    • Muito obrigado!
      • — Shared by orchiming
    • 　
      • — Shared by orchiming
  • Bom recurso. É pena não ser possível o download, dado nem sempre temos acesso à net
    • Você pode clicar no botão "Download" para baixar.
      • — Shared by orchiming
  • The best interactive version of this visual proof I have seen. Thanks very much!
    • — Shared by saxobob
    • Thank you very much!
      • — Shared by orchiming
  • Thank you!
    Very good model.
  • A circle has zero area, a DISK has an area. Very nicely done.
  • Great work!
    • — Shared by dev1l
    • Thank you very much, Valery, Christian and Dev1!
      • — Shared by orchiming
  • Great ! buddy....Thanks!!!
    • — Shared by jamshed

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