(a) Show that the area of a regular dodecagon (12-sided polygon) is given by where a is...

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(a) Show that the area of a regular dodecagon (12-sided polygon) is given byimage

where a is the length of one of the sides and r is the radius of the inscribed circle.

(b) Given that each interior angle of a regular n-sided polygon (n ≥ 3) measuresimage

generalize these formulas for any regular polygon.

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