Gutter pipe

How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter, if 7% bend is required?

Correct answer:

A =  3.6304 m²

Step-by-step explanation:

$$\begin{gathered} D=18\text{ cm}\to \text{ m}=18\mathrm{/}100\text{ m}=0.18\text{ m } \\ r=D\mathrm{/}2=0.18\mathrm{/}2={\displaystyle \frac{9}{100}}=0.09\text{ m } \\ l=12\text{ m } \\ {S}_1=\pi \cdot D\cdot l=3.1416\cdot 0.18\cdot 12\doteq 6.7858{\text{m}}^2 \\ q=7\mathrm{\%}=1+{\displaystyle \frac{7}{100}}=1.07 \\ A=S_1\mathrm{/}2\cdot q=6.7858\mathrm{/}2\cdot 1.07=3.6304{\text{m}}^2 \end{gathered}$$

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