An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, space, c, m. What is the area AAA of the circular cross section of this pipe?
Accepted Solution
A:
Answer: The answer is 314.28 cm² (approx.). Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.We need to find the area 'A' of the circular cross-section of the pipe.Given, diameter of the circular section is[tex]\textup{d}=20~\textup{cm}.[/tex]So, the radius of the circular cross-section will be[tex]\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.[/tex]Therefore, cross-sectional area of the pipe is[tex]\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.[/tex]Thus, the answer is 314.28 cm² (approx.).