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 .