Answer:
49.12 in²
Step-by-step explanation:
The composite figure here is a semicircle and a triangle :
Area of triangle = 1/2 * base * height
Base of triangle = 8 inches ; height = 6 inches
Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²
Area of semicircle = 1/2 * πr²
Radius = 4 in
Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²
Area of composite figure :
Area of triangle + Area of semicircle
(24 in² + 25.12 in²)
= 49.12 in²
