Difficult# A Sector with Two Unknowns

SATMAT-JJTJRZ

Segment $AE$ is a diameter of circle $C$ in the figure above.

If segment $DB$ is tangent to circle $C$ at point $B$, the measure of angle $D$ is $ { 24 }^{ \circ } $, $AD=11$ units, and $DB=17$ units, then what is the area of the shaded sector bounded by points $B$, $C$, and $E$ ? (No Calculator)