Answer:
A. 20.86 square inches
Step-by-step explanation:
a)
We know that the formula for the area of a rectangle is Length x Height (A = LH).
Length (L) = 6 inches
Height (H) = 4 inches
So we incorporate our formula for the area of a rectangle into this situation:
Area (A) = 6 x 4
Area (A) = 24 in^2
b)
We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).
Radius (r) = 1 inch
So we incorporate our formula for the area of a circle into this situation:
Area (A) = 3.14 x 1^2
Area (A) = 3.14 in^2
c)
We can see from the diagram that the shaded region come mainly from the rectangle. So to find the area of the shaded part, we can simply subtract the area of the circle, from the area of the rectangle (Area of rectangle - Area of circle = Area of shaded region).
Area of rectangle = 24 in^2
Area of circle = 3.14 in^2
So we incorporate our formula for the area of the shaded part into this situation:
Area (A) = 24 in^2 - 3.14 in^2
Area (A) = 20.86 in^2
