Refer to Problem 105. The figure shows that the interior angle of a regular dodecagon has measure
Question:
Refer to Problem 105. The figure shows that the interior angle of a regular dodecagon has measure 150°, and the apothem equals the radius of the inscribed circle.
(a) Find the exact area of a regular dodecagon with side a = 5 cm.
(b) Find the radius of the inscribed circle for the regular dodecagon from part (a).
(c) Find the exact area of the circle inscribed in a regular dodecagon with side a = 5 cm.
(d) Find the exact area of the region between the circle and the regular dodecagon.
Data from problem 105
Area of a Dodecagon Part I A regular dodecagon is a polygon with 12 sides of equal length. See the figure.
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