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computational geometry for 13yo, segment inside a regular 10-gon

Source: May Olympiad (Olimpiada de Mayo) 2018 L1

September 10, 2018
geometryComputationalpolygon

Problem Statement

Let ABCDEFGHIJABCDEFGHIJ be a regular 1010-sided polygon that has all its vertices in one circle with center OO and radius 55. The diagonals ADAD and BEBE intersect at PP and the diagonals AHAH and BIBI intersect at QQ. Calculate the measure of the segment PQPQ.
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