TMUA 2022 Paper 2 Question 19

P2·Trigonometry, Logic & Quantifiers·8.0Official · 2022 · Q19
sufficiencyregular-polygonequal-area-triangles
A polygon has vertices, where . It has the following properties:• Every vertex of the polygon lies on the circumference of a circle .
• The centre of the circle is inside the polygon.
• The radii from the centre of the circle to the vertices of the polygon cut the polygon into triangles of equal area.
For which values of are these properties sufficient to deduce that the polygon is regular?

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