Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot
<h3>Cost of wallpaper per square foot</h3>
- length = 9 ft
- Width = 8 ft
- Height = 5 ft
Surface area of a box = 2(lh + wh + lw)
= 2(9×5 + 8×5 + 9×8)
= 2(45 + 40 + 72)
= 2(157)
= 314 square foot
- Total cost of wallpaper = $942
Cost of wallpaper per square foot = $942 ÷ 314 square foot
= $3 per square foot
Learn more about surface area:
brainly.com/question/2500827
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The answer is option C. Both Friedrich and Jung have the most debt. Hope I could help! :D
Hoi!
The basic metric unit of capacity is a liter. :)
