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PIMSO 2022 - Mathematics - Grade 5 - National Round Question 22

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 5 - National Round

Question 22

A circle is circumscribed about another polygon such that all vertices of the polygon are equidistant to each other as seen in the figure below. What is $\angle O$ if O is the circumcenter?

Question illustration

Interpretation note (editorial): the pictured polygon is taken to be a regular hexagon; the requested angle is the smaller angle between the red radii.