APB and AQC are semicircles, the midpoints of whose diameters are M and N, respectively.

MP is perpendicular to AB, and Q is on MP.

The length of BC is 5; the length of QP is 3.

Find the length of the radius of each semicircle.

APB and AQC are semicircles, the midpoints of whose diameters are M and N, respectively.

MP is perpendicular to AB, and Q is on MP.

The length of BC is 5; the length of QP is 3.

Find the length of the radius of each semicircle.