Perimeter of curved shape = 38.644m
Step-by-step explanation:
To find the perimeter of the curve, we would sum all the sides in the curve.
The other straight sides are known. Let's find the curved part.
We would apply perimeter of a semicircle since the curve is half of a circle.
Perimeter of a semicircle = πr + diameter
diameter of the curve = 9.2m
diamter = 2(radius)
radius = r = diamter/2
r = 9.2/2 = 4.6m
π = 3.14
Perimeter of a semicircle = (3.14 × 4.6) + 9.2 = 14.444 + 9.2
Perimeter of a semicircle = 23.644
Note that the curve part is open. This means the straight line on the semicircle is missing.
This straight line is the diameter.
So we need to remove the diamter from the perimeter of the semicircle
The length of the curved part = perimeter of the semicircle - diameter
The length of the curved part = 23.644 - 9.2 = 14.444m
Now we find the curved shape = length of the base + the two vertical sides + the length of the curved part
length of the base= 9.2m, vertical sides = 7.5m
Perimteter of curved shape = 9.2m + 2(7.5m) + 14.444m
Perimteter of curved shape = 38.644m