Mathematics: What is the area of a regular polygon with 16 sides and side length 4 inches? explain in detail with a diagram. you.

138.24/(9.6*3.2)=138.24/30.72=4.5...

What is the area of a regular polygon with 16 sides

jflandersneongr

02.01.2022

Area is 321.6 square inches.

Step-by-step explanation:

A regular polygon with 16 sides is a Regular Hexadecagon. Regular means all sides are equal dimension. See image attached.

Side length is 4 inches.

side length=s=4 inches

You need to calculate the apothem.

Apothem=s*2.51367

Apothem=10.054

2. You can use the formula to calculate de area of an hexadecagon:

$A=\frac{Perimeter*Apothem}{2}$

Perimeter=16 sides*4inches

Perimeter= 64 inches

$A=\frac{64*10.054}{2}$

$A=321.6 inches^{2}$

0,0(0 оценок)