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Author Maths question
mwg
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17th Aug 09 at 11:25   View User's Profile U2U Member Reply With Quote

If you have a circle of a known radius and you want to measure off at certain intervals around it, say 10m around along the line of the circle. How do you work out where those 10m points are?

I'm sure I've done this before but its Monday and my mind has gone blank
Cavey
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17th Aug 09 at 11:26   View User's Profile U2U Member Reply With Quote

Will be every 36 degrees?

Edit to say, i don't think that's right at all... that'll just give you 10 points...

[Edited on 17-08-2009 by Cavey]
ed
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17th Aug 09 at 11:26   View User's Profile U2U Member Reply With Quote

Do a drawing of it to work it out
RichR
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17th Aug 09 at 11:27   View Garage View User's Profile U2U Member Reply With Quote

or put it into Solidworks and do a circular pattern at equal intervals No Maths involved then Solidworks FTW
ed
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17th Aug 09 at 11:28   View User's Profile U2U Member Reply With Quote

That's what I would have done
mwg
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17th Aug 09 at 11:29   View User's Profile U2U Member Reply With Quote

quote:
Originally posted by Cavey
Will be every 36 degrees?

Edit to say, i don't think that's right at all... that'll just give you 10 points...

[Edited on 17-08-2009 by Cavey]


Thats not right.

Dont have solidworks. I'm sure there is a command in CAD for doing it, I've done it before FFS
Leighton
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17th Aug 09 at 11:30   View Garage View User's Profile U2U Member Reply With Quote

I can tell you how to do it in Microstation
Simon
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17th Aug 09 at 11:53   View User's Profile U2U Member Reply With Quote

Autocad? ARRAY command
Paul_J
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17th Aug 09 at 11:57   View User's Profile U2U Member Reply With Quote

don't you have to convert something to radians?
Paul_J
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17th Aug 09 at 12:01   View User's Profile U2U Member Reply With Quote

What about this?

2r * pi e.g. r = 10.

2*10 * pi = 62

then take 10mm off the circumfrence...

= 52.

Then 52 / 62 = 85% of the circle... so 15% of the circle = the 10mm.

Then get 15% of 360 = 54 degrees.
Ian
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17th Aug 09 at 12:04   View Garage View User's Profile U2U Member Reply With Quote

Depends very much whether you want to draw a polygon with the straight lines or take the 10 meters out of the circumference itself. The latter being somewhat more simple.
Daveskater
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17th Aug 09 at 12:16   View Garage View User's Profile U2U Member Reply With Quote

quote:
Originally posted by Simon
Autocad? ARRAY command
+1


Numberwang!

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I like you Dave, you are a man of men

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Look at my pictures
mwg
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17th Aug 09 at 12:42   View User's Profile U2U Member Reply With Quote

10 metres around the circumference. Sod it, its someone else thats trying to do it
Paul_J
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17th Aug 09 at 12:45   View User's Profile U2U Member Reply With Quote

quote:
Originally posted by Matty G
10 metres around the circumference. Sod it, its someone else thats trying to do it


Would help if you told us the radius.
Robbo_Corsa
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17th Aug 09 at 12:47   View User's Profile U2U Member Reply With Quote

I've just read all of these comments.. I do not understand a single thing!
Maths + Me = NO GO!
Ian
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17th Aug 09 at 12:58   View Garage View User's Profile U2U Member Reply With Quote

If the 10 metres follows the line of the circle and doesn't describe a polygon then just work out the circumference (6.28 x radius) and then find 10 / circumference which equates to the percentage of 360 that you need.

Similar to how Paul did it already.
Dom
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17th Aug 09 at 13:02   View User's Profile U2U Member Reply With Quote

This should do it -

Interval * (2 x PI x r/360)

Basically, you divide the circumference by 360 which will give you how long each degree is. Then multiply that by how far you want measure around (ie: 10m).

So if the radius was 20 then -

Circumference = 2*Pi*r = 125.663706
Each degree = 125.663706 / 360 = 0.34906585
10m around would equal = 0.34906585 * 10 = 3.4906585 degrees

every 3.4906585 degrees is 10m etc

[Edited on 17-08-2009 by Dom]
Robbo_Corsa
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17th Aug 09 at 13:31   View User's Profile U2U Member Reply With Quote

Thats what i thought..
mwg
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17th Aug 09 at 13:38   View User's Profile U2U Member Reply With Quote

Right asked him for one of the radius to try it out. Radius = 82.929m

6.28x82.929 = 520.79412 = circumference

520.79412/10 = 1.446650333m = 1 degree

10/1.446650333 = 6.912520442 degrees = 10m around the circumference of the circle

Drew it out to check in CAD and it came back as 10.0051m which is only 5mm out, can live with that

[Edited on 17-08-2009 by Matty G]
alan-g-w
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17th Aug 09 at 13:51   View User's Profile U2U Member Reply With Quote

My head just imploded from a maths overload after reading all the replies in here.
Corsa_Quadz
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18th Aug 09 at 08:55   View User's Profile U2U Member Reply With Quote

quote:
Originally posted by Paul_J
What about this?

2r * pi e.g. r = 10.

2*10 * pi = 62

then take 10mm off the circumfrence...

= 52.

Then 52 / 62 = 85% of the circle... so 15% of the circle = the 10mm.

Then get 15% of 360 = 54 degrees.


That just made my brain implode
Corsa_Quadz
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18th Aug 09 at 08:55   View User's Profile U2U Member Reply With Quote

Shit repost
alan-g-w
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18th Aug 09 at 10:35   View User's Profile U2U Member Reply With Quote

Instant repost ftl
Corsa_Quadz
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18th Aug 09 at 10:50   View User's Profile U2U Member Reply With Quote


 
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