Answer:
Area of rectangle = 448
Area of semi circle = 402.1
Total area = 850.1
Step-by-step explanation:
Area of rectangle = length times width
Given length = 32 cm
Given width = 14 cm
Area = 32 * 14 = 448
Area of semi circle = πr² / 2
where r = radius
Given diameter = 32cm
To convert diameter to radius simply divide by 2
32 / 2 = 16
So radius 16
now we plug 16 into the formula
[tex]A=\frac{\pi 16^2}{2} \\16^2=256\\256\pi =804.25\\\frac{804.25}{2} =402.12\\A=402.1[/tex](rounded)
Total area = area of semi circle plus area of rectangle
total area = 402.1 + 448 = 850.1
