Answer:
Area of circular pipe in terms of pi is found as [tex]100\pi[/tex] square centimeter
*STEP-BY-STEP EXPLAINATION:
Solution:
Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm
We have to find the area 'A' of the circular cross-section of the pipe.
Given, diameter of the circular section is:
diameter = 20 cm
Let us find the radius
[tex]\\ radius[/tex] [tex]\\ =[/tex] [tex]\frac{diameter}{2}[/tex]
[tex]\\ r[/tex] [tex]\\ =[/tex] [tex]\frac{20}{2}[/tex] [tex]\\ =[/tex] [tex]\\ 10[/tex]
Thus radius = r = 10 cm
The area 'A' of the circular cross-section of the pipe means we can use the area of circle formula
The area of circle is given as:
[tex]\\ area[/tex] [tex]\\ =[/tex] [tex]\pi[/tex][tex]r^{2}[/tex]
Where "r' is the radius of circle
We have to find area in terms of pi
[tex]area =[/tex] [tex]\pi (10)^{2}[/tex]
[tex]area = \pi[/tex] × [tex]10[/tex] × [tex]10[/tex]
[tex]area = 100\pi[/tex]
Thus area of circular pipe in terms of pi is found as [tex]100\pi[/tex] square centimeter
