M1-17-45
From Inspire
Area of circle as a limit | Maths | Calculus |
Overview:
The process of calculating the area of a circle as the limit of the sum of the areas of interior triangles.
Starting with just one triangle, the process is followed as the number of triangles goes to infinity.
Suggestions:
Check the calculation on each step.
Can you think of proving in a similar way the value of the area or the volume of another simple geometrical body?
Learning object available in:
EN |
DE |
IT |
LT |
ES |
CA |
Terms you need to know:
The area of a circle as a limit |
Area of triangle |
Base |
Height |
Click to begin |
Number of triangles |
Sum of areas of triangles |
Area of circle |
Height of triangle |
Radius of circle |
Circumference of circle |
Note |
As |
Additional information:
type: | animation |
format: | flash |
Permission to^{(1)}: | |
download: | yes |
modify: | yes |
Further permissions: | |
http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Flash/ | |
Age group^{(2)}: | 17-21 |
Notes
(1) For personal, non-commercial use. To read the complete "Terms of use" of this learning object, please follow the link given in "Further permissions".
(2) Suggested age group. The learning object may be used by the Teachers with students of any age.