# Nice Coordination with angles

Geometry Level 4

Given a circle with equation $$x^2 + (y-1)^2 = 1$$, find the distance the two intersection points between a line that passes through the origin with angle $$\theta$$ and the circle in terms of $$\theta$$.

Hence calculate the distance if $$\theta = 60^\circ$$.

Note: A previous version of this problem had $$\theta = 30^\circ$$ which made the correct answer 1. Those who previously answered 1 have been given credit for a right answer.

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