Points in a circular area

[Jim Hurley]

>
>Message: 2
>Date: Wed, 28 Jan 2004 23:36:28 -0800 (PST)
>From: Alejandro Tejada <capellan2000 at yahoo.com>
>Subject: Points in a circular area
>To: use-revolution at lists.runrev.com
>Message-ID: <20040129073628.38580.qmail at web40513.mail.yahoo.com>
>Content-Type: text/plain; charset=us-ascii
>
>Hi Developers,
>
>I'm working with geometric stuff now, and before
>reinvent the wheel, i feel compeled to ask:
>
>Do you have a function that returns all
>the points or coordinates within an arc of
>a circle?
>
>Notice for a rectangular area this is
>fairly easy, but an area with the shape of an
>slice is another thing. Imagine how to get all the
>points within a larger version of this arc shape >.
>
>Ideas or suggestions are welcome!
>
>Thanks in advance.
>
>al


Al,

I presume you mean all integer coordinates within the arc. And the 
arc is a slice of pie?

This is crude, but possibly viable.

A little Turtle Graphics (with radial coordinates) might help--of course :-)

If the arc is a piece of pie: Use polar coordinates. Set the origin 
at the apex of the arc.  Test for all x-y integer coordinates within 
a square of side R (radius of the arc)  for their radial coordinates. 
Accept those for which r is less than R and theta is between the arc 
angles.

Is this clear without a figure?

Jim