Question

The area of a circle can be visualised by dividing the circle into equal sectors, and rearranging the sectors to form a ___ . The area of the rearranged figure will be equal to the area of the circle.

Answer 1

The rearranged figure can be visualised as a rectangle with base equal to half the circumference of the circle ($\pi r$) and the width as the radius ($r$) The area of the rectangle is equal to $\pi r\times r=\pi r^2$ which is the area of the circle