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Produce => Under Glass => Topic started by: agapanthus on January 23, 2006, 12:25:33

Title: geometry question from a thicko :(
Post by: agapanthus on January 23, 2006, 12:25:33: I want to make staging for my hexangonal greenhouse (yup finally got it square!!)..all the way around and as my geometry = zip could one of you clever people tell me what the angles would be ??? Not sure if this makes sense ??? ??? ???
Title: Re: geometry question from a thicko :(
Post by: Paulines7 on January 23, 2006, 12:50:50: Well done for ercting your greenhouse, it couldn't have been very straightforward. The internal angles should be 120 degrees.
Title: Re: geometry question from a thicko :(
Post by: Palustris on January 23, 2006, 13:24:58: No, no ,no internal angles are all 60 degrees.
360 degress in a circle 6 angles in a hexagon. 360/6 = 60 baboom!
Title: Re: geometry question from a thicko :(
Post by: Tulipa on January 23, 2006, 13:32:04: 60 was my first answer, but in a square the angles at the corners would be 90 and in a hexagon they will be greater than a right angle so 120 degrees I think. Daughter is taking further maths a level module today - will ask her when she comes home!

Edit: Sorry Eric, you always have a greater knowledge of gardening than me. 60 degrees would make an equilateral triangle I think.
Title: Re: geometry question from a thicko :(
Post by: Curryandchips on January 23, 2006, 13:34:31: That is correct Pauline.

Agapanthus, if you measure and cut a shelf with square corners so it is the correct length to sit up to each bend in your greenhouse, you can then mark and cut off a 30 degree wedge off each end, to produce shelves which will line up with each other. Please don't ask me to explain why though !

Palustris, may I gently correct you, the internal angle of a regular polygon is 180 degrees minus the angle you have cited ie 60 deg. Hence 120 degrees. I can see quite clearly why people struggle with the arithmetic.
Title: Re: geometry question from a thicko :(
Post by: Ceratonia on January 23, 2006, 13:40:04: I misinformed Palustris while on chat, so my fault, not his :-[

A quick bit of drawing shows me that if a polygon has N sides, then the formula is

Sum of the interior angles of a polygon = (N - 2) x 180°, rather than a simple 360.

So the angles of a hexagon must add up to 720, so if the hexagon has 6 equal sides, its internal angles will be 120°, as previously posted.
Title: Re: geometry question from a thicko :(
Post by: Curryandchips on January 23, 2006, 13:57:05: See if this diagram helps. This is showing the end of the shelf.
Title: Re: geometry question from a thicko :(
Post by: kenkew on January 23, 2006, 14:02:18: I ran out of paper so went here.
http://mathworld.wolfram.com/Hexagon.html
Title: Re: geometry question from a thicko :(
Post by: Palustris on January 23, 2006, 14:15:50: Sorry, I take it back.
Title: Re: geometry question from a thicko :(
Post by: agapanthus on January 23, 2006, 16:08:37: Wish I had'nt asked now :-[...lol I did think it was 60 degrees...but then I did'nt think was right :'(......but hey ignorance is bliss!! ;D Thanks very much ;D
Title: Re: geometry question from a thicko :(
Post by: adam04 on January 24, 2006, 16:08:35: Eric worked out the external angles. to find external angles its 360 / by number or vectros (corners). then you take that from 180 and thats your angle.
Title: Re: geometry question from a thicko :(
Post by: lorna on January 24, 2006, 17:22:34: Well I knew the answer !!!!! I TELL LIES AS WELL ::) ::) ::)