Areas Of Regular Polygons: radius, apothem, side, perimeter

[bbydoll]

I need help. Badly!

I need help solving this: "A regular hexagon has perimeter 60. Find the radius and the apothem."
If you could explain it out as well, that would be grand!

Also, there is a chart I'm supposed to complete.
It's over this triangle:

i have to find the radius, the apothem, the side, the perimeter, and the area.
the chart goes like this (sort of)

1. radius: 6
2. radius: 10
3. apothem: 4
4. side: 12
5. perimeter: 10

PLEASE HELP me find the rest of the information on these problems.
Or at least get me to the point i can solve the rest of them myself.
please and thank you.

 

[pka]

Re: Areas Of Regular Polygons

Look at this webpage.
http://mathworld.wolfram.com/Hexagon.html

 

[bbydoll]

Re: Areas Of Regular Polygons

Look at this webpage.
http://mathworld.wolfram.com/Hexagon.html

:/
thank you, buuuut.
i need....simpler explanations.
i'm a freshman in highschool, (which isn't REALLY an excuse) and all those complications just throw me off track.

 

[Loren]

Re: Areas Of Regular Polygons

Draw a line from each vertex of your regular hexagon to the vertex directly opposite. You will have drawn three segments that results in dividing the hexagon into 6 equilateral triangles. Now, work with one of those triangles. Draw an altitude. That is the apothem of the hexagon. The apothem is the long leg of a right triangle. The short leg of the right triangle is one-half of one side of the hexagon. Using Pythagorean theorem, you should be able to calculate the desired information. Just remember that all sides of an equilateral triangle are equal. Good luck.