2023 AMC 10A Problem 15

An even number of circles are nested, starting with a radius of 1 and increasing by 1 each time, all sharing a common point. The region between every other circle is shaded, starting with the region inside the circle of radius 2 but outside the circle of radius 1. An example showing 8 circles is displayed below. What is the least number of circles needed to make the total shaded area at least 2023\pi?

\textbf{(A)} 46 \qquad \textbf{(B)} 48 \qquad \textbf{(C)} 56 \qquad \textbf{(D)} 60 \qquad \textbf{(E)} 64

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.