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UKMT Intermediate Mathematical Challenge, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Three sectors of a circle are removed from a regular hexagon to form the shaded shape shown. Each sector has perimeter $18$ mm. What is the perimeter, in mm, of the shaded shape formed?

(A) $48$ (B) $50$ (C) $52$ (D) $54$ (E) $56$

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