# 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 result:

A =  3.63 m2

#### Solution:

$D=18 \ cm \rightarrow m=18 / 100 \ m=0.18 \ m \ \\ r=D/2=0.18/2=\dfrac{ 9 }{ 100 }=0.09 \ \text{m} \ \\ l=12 \ \text{m} \ \\ \ \\ S_{1}=\pi \cdot \ D \cdot \ l=3.1416 \cdot \ 0.18 \cdot \ 12 \doteq 6.7858 \ \text{m}^2 \ \\ \ \\ q=7 \%=1 + \dfrac{ 7 }{ 100 }=1.07 \ \\ \ \\ A=S_{1} / 2 \cdot \ q=6.7858 / 2 \cdot \ 1.07=3.63 \ \text{m}^2$

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