Perimeter and circles

4,000 years ago (2,000 B.C.) the Babylonians, Sumerians and Chaldeans knew the existence of and had estimated it to be roughly equal to 3.

For simplicity, we will use 3.142 to equal .


The perimeter of a circle is given by the formula 2r. Where r is the radius of the circle and is given as 3.142.

Consider the animation on the right.

A circle of radius ten metres is expected to have a circumference (perimeter) of 62.84 m.

Consider the animation on the right.

Three quarters of a circle of radius ten metres is expected to have a circumference (perimeter) of 47.13 m.

Consider the animation on the right.

Half a circle of radius ten metres is expected to have a circumference (perimeter) of 31.42 m.

Exercises