In a circle, a chord AB of length 8 cm is bisected at point E by a perpendicular radius. If the distance from the midpoint of the chord to the outer arc along the radius (PE) is 3 cm, find the length of AE.

If B is the center of a circle and lines AD and CD are tangent segments drawn from an external point D, then which of the following classifications apply to quadrilateral ABCD? (a) Kite (b) Cyclic quadrilateral (c) Rhombus (d) Trapezium

In a parallelogram PQRS, rays PA and SA are the angle bisectors of ∠QPS and ∠RSP respectively. Find the measure of ∠PAS.