2023 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 15 Easy

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 ?

  • A.

    46

  • B.

    48

  • C.

    56

  • D.

    60

  • E.

    64

Answer:C