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PRMO 2015. p8. broken piece of a circular plate made of glass

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April 9, 2024
geometry

Problem Statement

8. The fi gure below shows a broken piece of a circular plate made of glass. https://cdn.artofproblemsolving.com/attachments/7/3/a49f60d803f802c54e2295932b34579514b4fe.png CC is the midpoint of ABAB, and DD is the midpoint of arc ABAB. Given that AB=24AB = 24 cm and CD=6CD = 6 cm, what is the radius of the plate in centimetres? (The fi gure is not drawn to scale.)