Given angle, $\alpha$, and distance, $d$, what is the radius, $r$, and angle, $\theta$, in the image below in terms of the known quantities?
2026-04-25 13:09:05.1777122545
What is the radius of a circle tangent to two lines with a known angle between them
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Hint: $\sin \left(\frac{\alpha}{2}\right) = \dfrac{r}{r+d}$, and $\dfrac{\theta}{2} = 90^\circ - \dfrac{\alpha}{2}$.