Answer: 41.1 units²
Step-by-step explanation:
The area of the shape equals the area of the semi-circle plus the area of the triangle
Area of semi-circle:
A = 0.5 * π * radius²
A = 0.5 * π * 4²
A = 25.1 units²
Area of triangle:
B = 1/2 * base * height
B = 1/2 * 8 * 4
B = 16 units²
Area of shape:
Area = A + B
Area = 25.12 + 16
Area = 41.1 units²