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Area of Shaded Region; ( Around ) 125.66 cm^2

Step-by-step explanation:

We should first determine the Area of the inner circle, in other words the un - shaded region, provided it has a supposed radius of length 3 centimeters, subtracted from the Area of the Circle itself, radius of length 7 cm;

To receive a more accurate answer let us keep the area in terms of π, rounding the final answer;

Area of Inner Circle; πr^2 ( where r ⇒ radius ), π * ( 3 )^2, 9π cm^2

Area of Outer Circle; πr^2 ( where r ⇒ radius ), π * ( 7 )^2, 49π cm^2

Thus the Area of the Shaded Region must be, through the Partition Postulate;

Area of Shaded Region; Area of Outer Circle - Area of Inner Circle; 49π - 9π, 40π ⇒ Answer; ( Around ) 125.66 cm^2