A rectangle is placed around a semicircle as shown below. The length of the rectangle is 4ft. Find the area if shaded region. use the value 3.14 for pie, And do not round your answer.

Area of shaded region is 1.72 ft²

Step-by-step 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

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step-by-step explanation: