The area of the composite figure is 41.86 square inches option (c) is correct.
It is given that in the figure the composite figure is made up of a half circle and a rectangle.
It is required to find the area of the composite figure.
What is the area of the rectangle?
It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
Length of the rectangle = 8.6 cm
Width of the rectangle = 4.1 cm
Area of rectangle = 8.6×4.1 ⇒ 35.26 square cm
For the area of the half-circle:
Diameter of the circle = 4.1 cm
The radius of the circle = 4.1/2 ⇒ 2.05 cm
The half-circle area = [tex]\rm \frac{1}{2} \pi r ^2[/tex]
Where r is the radius of the circle.
The half-circle area = [tex]\rm \frac{1}{2} \pi (2.05)r ^2[/tex] (r = 2.05 cm)
The half-circle area = 6.601 square cm
The area of the composite figure = Area of rectangle +half-circle area
= 35.26 +6.601
= 41.86 square inches
Thus, the area of the composite figure is 41.86 square inches.
Learn more about the area here:
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