Respuesta :
Area of circular pipe in terms of pi is found as [tex]100 \pi[/tex] square centimeter
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 = \frac{diameter}{2}\\\\r = \frac{20}{2} = 10[/tex]
Thus radius = r = 10 cm
The area 'A' of the circular cross-section of the pipe measn we can use the area of circle formula
The area of circle is given as:
[tex]area = \pi r^2[/tex]
Where "r' is the radius of circle
We have to find area in terms of pi
[tex]area = \pi (10)^2\\\\area = \pi \times 10 \times 10\\\\area = 100 \pi[/tex]
Thus area of circular pipe in terms of pi is found as [tex]100 \pi[/tex] square centimeter