Maths Olympiad Prep

Library / CEMC Gauss (Grade 8) /384 of 525

CEMC Gauss (Grade 8), 2008

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, each circle is divided into two equal areas and OO is the centre of the larger circle. The area of the larger circle is 64π64\pi. The total area of the shaded regions is

(A) 34π34\pi (B) 36π36\pi (C) 44π44\pi (D) 40π40\pi (E) 33π33\pi

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.