Answer:
30.68 cm²
Explanation:
Area of the shaded region
= Area of rectangle - Area of semicircle
Given,
Height (h) = 4.5 cm
Base (b) = 9 cm
Diameter (d) = 5 cm
Formula
Area of the rectangle = bh
Area of the rectangle
= 9 x 4.5
= 40.5 cm²
Formula
Radius (r) = d/2
r = 5/2
r = 2.5 cm
Formula
Area of the semicircle = πr²/2
Note
The value of π is 3.14
Area of the semicirlce
= (3.14 x 2.5²)/2
= (3.14 x 2.5 x 2.5)/2
= 19.625/2
= 9.8125 cm²
Area of the shaded region
= Area of rectangle - Area of semicircle
= 40.5 - 9.8125
= 30.6875 cm²
~ 30.68 cm² approximately