Calculate point after rotation

[lulas]

Hi all, I have the following data:

• Center (cx, cy);
• Initial/Original Point (ix, iy);
• angle of rotation;

How can I calculate the point after the rotation with the given referential?

 

[Ishuda]

Hi all, I have the following data:

• Center (cx, cy);
• Initial/Original Point (ix, iy);
• angle of rotation;

View attachment 5341

How can I calculate the point after the rotation with the given referential?

I'm not quite sure I know what you mean but I think you are given a circle of radius r with known center (cx, cy), a known point (ix, iy) on the circle, an unknown point on the circle (fx, fy) and a known angle at the center between (ix, iy) and (fx, fy) of \(\displaystyle \alpha\). You want to know the value of (fx, fy). Is that correct? If not, please present the problem completely as stated.

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting