I missed a week in my geometry class so I need some help catching up

1 (a). Find the inradius of triangle ABC.

1 (b). Find the circumradius of triangle ABC.

2. In triangle PQR, M is the midpoint of $\overline{PQ}$. Let X be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR$ and let the perpendicular bisector of $\overline{PQ}$. intersect $\overline{PX}$ at Y. If PQ = 36, PR = 22, and MY = 8, then find the area of triangle PYR.

3 (a). In triangle ABC, let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given AB = 12, AY = 10, and CY = 8, find BC.

3 (b). In triangle ABC, let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given AB = 12, AY = 10, and CY = 8, find BZ.