Orientation of Arc.

[NirVid]

How can I find the orientation of Arc (clockwise / anticlockwise) when following data is available.
1. Start point
2. End point
3. Mid point
4. Center
5. Radius.

 

[LCKurtz]

Apparently you are thinking about a circular arc in a plane, say the xy plane oriented in the usual way. The notion of clockwise or anticlockwise depends on orientation and viewpoint. So let's assume a right handed xyz system and you are looking down the positive z axis at an arc in the xy plane. Just use the right hand rule. If your fingers curl in the orientated direction and your thumb points in the direction of the positive z axis, that is counferclockwise. Or mathematically take the vector [imath]\vec S[/imath] from the center to the start point and the vector [imath]\vec E[/imath] from the center to the end point and calculate [imath]\vec S \times \vec E[/imath]. Dot that with [imath]\vec k[/imath]. If the result is positive the orientation is counterclockwise, negative clockwise.