It is an easy way to visualize the area of a circle by transforming the circle into a rectangle.

In this lesson, we transform a circle into a rectangle and explain why the area of a circle is \(πr²\).

❖ \(πr^2\) Gives you the area of a circle, but where does it come from? Here is an easy and simple explanation.

Transform the area of a circle into a rectangle:

Visualize it geometrically:

Half of the circumference of the circle \(= \frac{1}{2} \times (2πr) = πr.\)

The area of a circle \(=\) (half of the circumference of the circle) \(\times\) (radius) \(= (πr) \times (r) = πr².\)

Note: The circumference of the circle is the total distance around the edge of the circle.