Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I have a circle with $A$ as a center, $B$ and $C$ two points on the circle. I have the coordinates of $A$ (the center) and $B$ (the point on the circle). How can I find the coordinates of $C$ (another point on the circle knowing that $\angle BAC$ is $0.384$ rad (or $22^\circ$). The Y axis is upside down (see picture

So I have $(X_a, Y_a)$ and $(X_b, Y_b)$ and I need to find $(X_c, Y_c)$ respecting the given axis.


share|cite|improve this question
up vote 0 down vote accepted

Consider the angle formed between line ($AC$) and the x-axis. The picture you provided shows point $B$ on the x-axis which is not necessarily the case. The x-distance from point $A$ would be $\text{radius}\times \sin(\text{angle})$. The y-distance from point $A$ would be $\text{radius}\times \cos(\text{angle})$

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.