Observe the diagram.
\Central angle are
and
.
Radius of the smaller circle is
cm.
Convert central angle degree measure to radians.
\
.
Find area of a sector of the smaller circle.
\Area of sector :
.
Substitute
and
in
.

Area of shaded region of smaller circle is
.
Convert central angle degree measure to radians.
\
.
Find area of a sector of the smaller circle.
\Area of sector :
.
Substitute
and
in
.

Area of smaller circle is
.
Find area of a sector of the larger circle.
\Radius of the smaller circle is
cm.
Area of sector :
.
Substitute
and
in
.

Area of larger circle is
.
Area of shaded region of large circle is
.
Area of shaded region of smaller circle is
.
Area of shaded region of large circle is
.