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UKMT Senior Mathematical Challenge, 2025

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows three circles with radii 1, 2 and 3. What is the ratio of the shaded area to the area of the largest circle?

(A) 1:31:3 (B) 1:21:2 (C) 2:3\sqrt{2}:\sqrt{3} (D) 2:32:3 (E) 4:94:9

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