Maths Olympiad Prep

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Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Twenty points are equally spaced around the circumference of a circle. Kevin draws all the possible chords that connect pairs of these points. How many of these chords are longer than the radius of the circle but shorter than its diameter?

(A) 9090 (B) 100100 (C) 120120 (D) 140140 (E) 160160

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