How to determine rotated rectangle offset

[raphael75]

If you look at the attachment, I have the green box. Say the green box is 117 pixels x 18 pixels. It is then rotated around the center point 280°. How can I find the length of lines t and u? Thank you!

[Guest]

Just rough calculation
diameter of rotation circles is diagonal of green box = 118.38 pixels
At start diagonal is at an angle of tan-1(9/58.5) = 8.75 degrees
At end of 280 degree rotation this point will be at angle of 10 + 8.75 from the vertical 270 position clockwise.

The "t" and "u" values are the "x" and "y" coordinates of this angle...18.75
t = 59.19 - Sin (18.75) = 59.19 - 19 = 40
u = 59.19 x Cos 18.75 = 59.19 x 0.947 = 56.049

Its a rough calculation...I didn't check...Im sure others will.......

..........Simple.............

[Guest]

Just noticed....wrong....
t = 59.19 - Sin (18.75) = 59.19 - 19 = 40

This should read....
t = 59.19 - (59.19 x Sin (18.75)) = 59.19 - 19 = 40

OR....t = 59.19( 1 - Sin (18.75) ) = 40

......Simple to make Mistakes.....

[tufail123]

Geometry is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space.

geo = earth, metria = measure



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