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Thread: Areas of Regular Polygons

  1. #1

    Areas of Regular Polygons

    I need help with a math problem (yes its for school i dont need the answer just some direction as my book doesnt explain some stuff very well)

    Ok, i need to find the area of a regular pentagon with perimeter 60 and apothem X.

    Area = 1/2 apothem*perimeter

    first you need to make a right triangle out of this. Area of regular polygons has to be done as if circumscribed in a circle.

    Mathgirl32 i need you ! :P

  2. #2


    Um, I don't really know or remember what an apothem is. If you can tell me than I can probably help you. By the way I searched on Google for what an Apothem was. I haven't found a source that told me what one was for a pentagon but I did come across a site that might help you. Here is a link to their FAQ. Thats all I can do for now.
    [shadow]Vis Tecum Sit[/shadow]

  3. #3
    Senior Member
    Join Date
    Sep 2001
    I hate geometry, especially trig. I didn't feel like figuring this one out on my own (it's 5:00 AM) so here.
    This should explain everything you need to know. If you have anymore questions, ask. I'll answer them in the morning. Zzz....

    \"If you can\'t make it good, make it look good.\" - Bill Gates

  4. #4
    Senior Member tampabay420's Avatar
    Join Date
    Aug 2002
    that seems to have a few answers

    btw- what grade?
    yeah, I\'m gonna need that by friday...

  5. #5
    AO Antique pwaring's Avatar
    Join Date
    Aug 2001
    The way I remember it is that every regular polygon can be split into a number of triangles equal to the number of sides in the polygon (in this case, 5). Since you know the length of one of the sides (60/5 = 12) and the angle between each side (540 angles in a pentagon, divided by 5 is 108).

    To calculate the angles in a regular polygon, just take the number of sides, subtract two and multiply your answer by 180 (working in degrees here, not radians).

    Hope this helps.
    Paul Waring - Web site design and development.

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