Find the area of the shaded region. round your answer to the nearest tenth.

You haven't told us whether that 37 inches is the diameter
of the circle ... whether the line goes through the center of
the circle.  If it doesn't , then we have no way to answer the
question without more information, so I guess I must assume
that it does.

The area of a whole circle is (pi) times (the radius squared).

The radius of a circle is 1/2 of the diameter.
For this circle, the radius is  (37/2) = 18.5 inches,
and the (radius squared) is  342.25 inches² .

The area of the circle is  (pi) (R²) = 1,075.210 inches²

The diameter divides the circle into two equal parts, and
one of them is shaded.  So the area of the shaded part is ...

                     (1/2) x (1,075.210) =  537.61 inches²

      Rounded to the nearest tenth:  537.6 inches²