Answer:
54.98 cm squared
To find the area of the shaded region, we first need to know the area of the entire figure and the area of the circle.
To find the area of the circle, we use the formula pi times r^2
r is the radius, which can be found by multiplying the diameter by 1/2
1/2 x 16 = 8
Now we have pi times 8^2
8^2 = 64
Now we have pi times 64
Let's say that pi = 3.141 in this situation. We could be more exact and say 3.14159265... but that is probably not what your teacher wants.
64 x 3.141 = 201.024
So, we have the area of the circle.
Now we need the area of the entire figure.
Well, that's just length times width.
16 x 16 = 256
So, to find the area of the shaded region, we just have to find the difference between 256 and 201.024
256 - 201.024 = 54.976
We can round that to 54.98, or if you want, to 55.