Answer: Area of shaded region is 1.72 ft²
Explanation:
Area of shaded region = area of the rectangle - area of the semi circle.
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
Since we are dealing with a semi circle, then
Area of semi circle = 1/2 × πr²
From the diagram,
Diameter = 4 ft
Radius = diameter/2 = 4/2
Radius = 2 ft
Area = 1/2 × 3.14 × 2² = 6.28 ft²
Considering the triangle,
Length = diameter = 4 ft
Width = radius = 2 ft
Area of rectangle = 4 × 2 = 8 ft²
Area of shaded region
= 8 - 6.28 = 1.72 ft²