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06/17/2004 at 12:22PM PDT, ID: 21029386
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6.2

Math - get bounds of rotated rectangle

Asked by Slick812 in Math & Science

Tags: rectangle, rotated

Hello, , I am rotating a Rectangle (90 degree corners) to an angle from zero to 360 degrees, for a computer programming graphics operation, I'll call this the Rotated Rectangle.
I need to find the width and height of a "Bounds" rectangle around the rotated rectangle (containing all), , this Bounds Rectangle will have sides that are parralell to the x and y axis and will have it's width and height equal to the Rotated Rectangle at 0 degrees and 180 degrees.
The data that I start with is the width and height of the Rotated Rectangle and the Angle of Rotation, what I need is a formular or way to get the Width and Height of the Bounds Rect, after the rotation.
Lets say "Ang" is the angle of rotation in degrees, and the rrWidth and rrHeight is the Width and Height of the Rotated Rectangle, so bWidth and bHeight are the results I need, as the width and height of the Bounds Rectangle. . .

so I need some math like

bWidth = Cos Ang x rrWidth
bHeight = Sin Ang x rrHeight

but incorperating the the sides of the Rotated Rectangle to get a container size for the rotated rectangle

a picture may help to see the spatial relations, look at -

http://www.angelfire.com/hi5/delphizeus/rotate.html

I can get some "Partial" solutions, for a single quadrent of the rotation, but since the corners of the rotated rect change their left and right and upper and lower reference, I can not seem to get a good way to do this

any help will be apreciated !
[+][-]06/17/04 12:32 PM, ID: 11338097

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[+][-]06/17/04 12:46 PM, ID: 11338259

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About this solution

Zone: Math & Science
Tags: rectangle, rotated
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Solution Provided By: Gregory_Scot_Greer
Participating Experts: 4
Solution Grade: A
 
 
[+][-]06/17/04 12:47 PM, ID: 11338271

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