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11 Jun 2020
Graphical Reasoning Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the circle, forming n congruent (see figure).
(a) Determine the central angle in terms of n.
(b) Show that the area of each triangle is sin .
(c) Let be the sum of the areas of the n triangles. Find
Graphical Reasoning Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the circle, forming n congruent (see figure).
(a) Determine the central angle in terms of n.
(b) Show that the area of each triangle is sin .
(c) Let be the sum of the areas of the n triangles. Find
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Joram GuingguingLv10
26 Jun 2020