How Area Changes with Diameter

It is easy to believe that when you change one dimension of a figure, its area changes by the same percentage. However, this is incorrect.
The area of a circle changes with the square of its diameter. For example, doubling the diameter quadruples the area. Another example: tripling the diameter makes the area go up by a factor of nine.

 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+