To find the area of this compound shape, you need to divide this shape into two- the triangle and the semi-circle.
First, you need to find the area of the triangle.
The formula for the area of a triangle is 1/2 b × h.
Substitute known values into the formula.
1/2 (9.6) × (9.6) = 46.08
The area of the triangle is 46.08.
Next, you need to find the area of the circle.
The formula for the area of a circle is π × r².
Substitute known values into the formula.
(3.14) × (9.6 ÷ 2)² = 72.3456
The area of the circle is 72.3456.
46.08 + 72.3456 = 118.4256
Answer: The area of the shaded region is 118.43.