Question

What is the area of a regular hexagon with a distance from its center to a vertex of 1 cm? (Hint: A regular hexagon can be divided into six equilateral triangles.)

Answer 1

The area of a regular polygon given the radius is:

`area= (r^2*n*sin((360)/(n)))/(2)`
given:
r=1
n=6
Then the area will be:

`area= (1^2*6*sin((360)/(6)))/(2)`
area=
`(3 \sqrt3)/(2)` cm²