# geometry – How to construct for rotating a point around a given point with an angle \$alpha\$

Question is: Explain the construction steps of rotating a point around a given point for a given angle $$alpha$$.

I know that we have to translate the point of rotation to origin and then

$$x’ = xcos{alpha} – y sin{alpha}$$
$$y’ = ycos{alpha} + x sin{alpha}$$
Then we have to add the given point of rotation to $$x’$$ and $$y’$$.
But i have a confusion that it may not be the construction step of rotating.
Can you please tell me that if construction is based on drawing figure using ruler and protractor?
And if that is true, what will be the construction steps?