Shade Region Between Two Polar Rectangles

Dave Yrueta shared this question 6 months ago
Answered

Hi All --

I'm interested in finding a way to shade the region between two arbitrary polar rectangles. I've tried writing inequalities, using the IntegralBetween and the Spline commands -- all to no avail. Weirdly, I can do it using the Surface command in 3D, but that doesn't flow through to the 2D split screen. Can anyone help?

In particular, I'm interested in writing an expression or constructing a command that shades the area between the sector s_{o} and s_{i} in the attached file link: https://www.geogebra.org/cl...

Also, here's a picture: the area labeled R_{ij} is the one I'm trying to shade. My next stop is to approximate the polar rectangle with a polygon, but I'd like to avoid that solution if possible.

Thanks!f64342056b1ba2a19303283ceb59c13e

Best Answer
photo

with inequation

Files: foro.ggb

Comments (3)

photo
1

Not a very nice method, maybe it works for you though :)


https://www.geogebra.org/m/zbdspgxe

photo
1

with inequation

Files: foro.ggb
photo
1

Thank you Michael and mathmagic! Your help is much appreciated.

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