My Math Forum Angle to create a circle

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 June 17th, 2017, 09:59 PM #1 Newbie   Joined: Jun 2017 From: Canada Posts: 3 Thanks: 0 Angle to create a circle Essentially I'm moving a garden shed forward and then turning it. I will place wheels under each of the four corners. If the four wheels begin pointed so the shed can be pushed forward and backward then the one, let's say back left, will remain stationary. Back right will need to be rotated CW approx 5 degrees, front right will be approx 80 degrees CW, and front left approx 100 degrees CW. My problem is the shed is around 2000 lbs so "approx" isn't going to cut it. I have always enjoyed this sort of challenge but I am stumped. For simplicity sake, let's say the center of the wheels left to right is 8' and front to back is 12'. So what exact angle do I want to produce circles with a radius of 8', 14.42', and 12'?
June 17th, 2017, 11:10 PM   #2
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Image update

Maybe this image clarifies. Apologies, it was done in Paint.
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 Shed.jpg (72.5 KB, 5 views)

 June 17th, 2017, 11:29 PM #3 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2222 If the shed is rectangular, it can rotate "on the spot" by aligning the wheels with the shed's circumcircle. For the rotation suggested by your diagram, the back right and front left wheels should align respectively with the right side and front of the shed, and the front right wheel should be perpendicular to the shed's front right to back left diagonal.
 June 18th, 2017, 07:47 AM #4 Newbie   Joined: Jun 2017 From: Canada Posts: 3 Thanks: 0 I stared at it until I horribly over complicated it. Thanks! Just perpendicular to the back left for all... Thank you for the quick and great reply!

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