The area of a circle is found with the formula
a = pi×r^2
We have 2 circles. If we find the area of both then subtract the area of the smaller circle, that will leave us with the area of the shaded region.
Larger circle
a = pi×radius^2
a = 3.14 × 9^2
a = 3.14 × 81
a = 254.34 units^2
Smaller circle
a = pi×radius^2
a = 3.14 × 6^2
a = 3.14 × 36
a = 113.04 units^2
Subtract smaller circle from larger circle to get the area of the shaded region...
254.34 - 113.04 = 141.3
The question asks for the answer to the nearest hundredth so...
141.30 units^2
