Question

Find the area of a regular nonagon (9-sided polygon) if the apothem is 4 cm long, and each side is14 cm.

Answer 1

`252\text{ cm}^2`

Step-by-step explanation:

Here, we want to find the area of the polygon

Mathematically, we have that calculated as:

`A\text{ = }(n* b* a)/(2)`

where:

n is the number of sides of the polygon which is 9

b is the length of a side which is 14 cm

a is the length of the apothem which is 4 cm

Substituting the values, we have it that:

`A\text{ = }(9*14*4)/(2)\text{ = 252 cm}^2`