Question

What is the area of a regular dodecagon with a side length of 9 centimeters? Round your answer to the nearest tenth.

Answer 1

Answer:

$A=906.9\ cm^2$

Step-by-step explanation:

A do-decagon is a polygon with 12 straight sides and 12 equal angles.

-The general formula for finding area of a do-decagon is given as:

$A=3(2+\sqrt{3})s^2$

where s is the sides length.

-Given the sides dimension is 9cm, the area is calculated as;

$A=3(2+\sqrt{3})s^2\\\\=3(2+\sqrt{3})\times 9^2\\\\=906.8883462\approx906.9\ cm^2$

Hence, the do-decagon's area is $906.9\ cm^2$