(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 by

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) measures

generalize these formulas for any regular polygon.

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Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

ISBN: 9780137945139

5th Edition

Authors: Michael Sullivan

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Question Posted: Jul 21, 2023 02:00 PM

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

Question:

π K = 3a² cot 12 or 1 or K = 12r²tan- tan 12

Step by Step Answer:

To show the formulas for the area of a regular dodecagon lets break it down into two parts a Finding the area of a regular dodecagon with side length ...View the full answer

Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

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