Things to already know: Equation for a circle. radius of a unit circle. How to select the sign for Y to place the answer into the right quadrant.
--- We know: X = -4/5, r = 1 Equation for a circle: r^2 = X^2 + Y^2 Solving for the unknown Y: Y = +/- sqrt(r^2 - X^2) if r > X, then we have a real answer.
Once the square root is computed one has to select the sign to place point into the 2nd quadrant.