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UKMT Senior Mathematical Challenge, 2023

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Three circles with radii $2$ , $3$ and $3$ touch each other, as shown in the diagram. What is the area of the triangle formed by joining the centres of these circles?

(A) $10$ (B) $12$ (C) $14$ (D) $16$ (E) $18$

Figure for this problem

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