There existsHow about this adding this command:
- CircularSegment[ <Point M>, <Point A>, <Point B> ]
It would create the red area below. Yes, there is a workaround, but IMHO a student should be able to use this command to quickly define and find the circular segment of a circle part...This is one of the few parts of a circle where there is no command at this time. The green triangle is also a circle part but is easy to define with the polygon commands.
I hope the developers will add this command to the command list...
The attached file shows most of the parts of a circle, many of which GG currently incorporates...
No, the command CircularArc[ <Midpoint>, <Point>, <Point> ] is the arc length of the central angle. When shaded it shows the area of a sector, the CircularArc command does not find the area of the sector.
The segment of a circle is the area bounded by a chord and an arc length of the subtended angle (this formula uses radians)
A = 1/2 r^2 (Θ - sin Θ)
Look at the attachment circleParts2.ggb for most definitions and formulas.
So you want Area[CircularArc] as a workaround.
I guess you want a tool that creates the circular arc, adds a chord, shades it and outputs the area?
But I agree, a specific in-built tool would be tidier without the extraneous information.
Thanks for understanding...
BTW, I do not usually want to use ggt tools as I am still trying to learn them well enough to teach them...Also, if the term is a common term it should be built-in.
... Creates a segment between two points A and B.
Segment[ <Point A>, <Number a> ]
... Creates a segment with length a and starting point A.