Paper 1 · Polygons and Angles

A playing field is in the shape of a regular polygon, each of whose sides is of length 50 m. Themba starts at the centre of one side of the field and walks along all of the sides of the field until he arrives back at his starting point. He turns through $45°$ at each corner of the field. Calculate the total number of turns he makes.

ZIMSEC Mathematics Paper 1, June 1999, Q501