Answer: the shaded region is 1138.97m²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the larger circle,
Radius = 11.6 + 10.7 = 22.3 m
Area = 3.14 × 22.3² = 1561.4906m²
Considering the smaller circle,
Radius = 11.6 m
Area = 3.14 × 11.6² = 422.5184m²
Area of the shaded region is area of the larger circle - area of the smaller circle. It becomes
1561.4906 - 422.5184 = 1138.97m² rounded up to the nearest hundredth