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    OlympiadMediumGeometry10–12

    What is the area of a regular 1212-sided polygon inscribed in a circle of radius 11?

    Qual é a área de um polígono regular de 1212 lados inscrito numa circunferência de raio 11?

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    Solution

    Step 1 of 3

    1. 1.Split the polygon into 1212 isosceles triangles from the centre, each with two sides 11 and apex angle 360∘12=30∘\frac{360^\circ}{12} = 30^\circ.