Length of Radius in Circle

In a circle with a center at point O, the radius is divided into two segments by point P, with segment OP measuring 6 units and segment PA measuring 8 units, where A is a point on the circumference. Calculate the length of segment OA.

To find the total radius OA, use the segment lengths and the relationship between these segments as part of the radius.

Recall that if P lies on the line segment OA, then the total length of the radius OA can be expressed as:

$$OA = OP + PA$$