More Mathematics . . .

Fascinating Property of Circles

When I was a kid, I used to really like drawing patterns. For example, I used to mark 10 evenly spaced tick marks on the vertical and horizontal axes and connect them with lines in a particular way.

The interesting thing about this family of lines is that they envelope a curve. In the above figure, the lines appear to wrap around a definite shape. The worksheet below which you can download helps you to explore a fascinating property of circles and envelopes of lines. Give it a try!

Fascinating Property of Circles Worksheet