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 (πr) 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