The area of the shaded region is 423.9 sq in.
Step-by-step explanation:
Given,
The radius(r) of inner circle = 11 in
The radius(R) of the outer circle = 16 in
To find the area of the shaded region.
Formula
The area of a circle of radius r is πr²
Now,
The area of the inner circle = 3.14×11² sq in = 379.94 sq in
The area of the inner circle = 3.14×16² sq in = 803.84 sq in
The area of the shaded region = (803.84-379.94) sq in = 423.9 sq in
Hence,
The area of the shaded region is 423.9 sq in.
