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

`A=906.9\ cm^2`

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+√(3))s^2`

where s is the sides length.

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

`A=3(2+√(3))s^2\\\\=3(2+√(3))* 9^2\\\\=906.8883462\approx906.9\ cm^2`

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