Radius of the circle is
with center
.
Redraw the figure as shown.
\Area of the shaded region is sum of the areas of the triangle and sector.
\Area of SAS triangles:
\Two sides of the triangle are
and angle is
.
Area of the triangle
.
Substitute corresponding values in the formula.
\
.
Find the area of the sector.
\Area of the sector with central angle
and radius
is
.
Therefore,
.


.
.