examday

/TMUA

A circle $C_n$ is defined by

where $n$ is a positive integer.

$C_1$ and $C_2$ are drawn and the area between them is shaded.

Next, $C_3$ and $C_4$ are drawn and the area between them is shaded.

This is shown in the diagram.

This process continues until 100 circles have been drawn.

What is the total shaded area?