Area of a Dodecagon Part I A regular dodecagon is a polygon with 12 sides of equal

Question:

Area of a Dodecagon Part I A regular dodecagon is a polygon with 12 sides of equal length. See the figure.image


(a) The area A of a regular dodecagon is given by the formulaimage


where r is the apothem, which is a line segment from the center of the polygon that is perpendicular to a side. Find the exact area of a regular dodecagon whose apothem is 10 inches.(b) The area A of a regular dodecagon is also given by the formulaimage


where a is the length of a side of the polygon. Find the exact area of a regular dodecagon if the length of a side is 15 centimeters.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: