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UKMT Grey Kangaroo, 2025

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Five circles, each with an area of $8\text{cm}^2$ , overlap each other to form the figure shown. The area of each section where two circles overlap is $1\text{cm}^2$ . What is the total area covered by the figure?

(A) $32\text{cm}^2$ (B) $36\text{cm}^2$ (C) $39\text{cm}^2$ (D) $41\text{cm}^2$ (E) $42\text{cm}^2$

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