(a) Explanation Given Information: A regular dodecagon is a polygon with 12 sides of equal length as shown in the figure below, The area of regular dodecagon is given by the formula A = 12 r 2 tan ( π 12 ) . Where r is the apothem, which is a line segment from the centre of the polygon that is perpendicular to aside. The apothem is 10 i n . Formula used: Area of regular dodecagon A = 12 r 2 tan ( π 12 ) Calculation: The apothem is given as 10 inches. Substitute r = 10 in A = 12 r 2 tan ( π 12 ) , ⇒ A = 12 ( 10 ) < (b) To determine To calculate: Exact area of a regular dodecagon with length of a side is 15 centimetres.

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 7.5, Problem 105AYU

(a)

To determine

To calculate: The exact area of a regular dodecagon with apothem of 10 inches.

(b)

To determine

To calculate: Exact area of a regular dodecagon with length of a side is 15 centimetres.

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Chapter 7.5, Problem 104AYU

Chapter 7.5, Problem 106AYU

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The exact area of a regular dodecagon with apothem of 10 inches.

Solution Summary: The author calculates the area of the regular dodecagon with apothem of 10 inches.

To calculate: The exact area of a regular dodecagon with apothem of 10 inches.

To calculate: Exact area of a regular dodecagon with length of a side is 15 centimetres.

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