An engineer is planning a new water pipe installation of circular pipe has a diameter of 20 cm what is the area of the circular cross selection of this pipe

Question

asked May 23, 2021 46.1k views

1 Answer

Pathetic Learner · Answer 1 · 2021-05-27T22:06:59+0000

Answer:

Area of circular pipe in terms of pi is found as
$100\pi$ 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

$\\ radius$
$\\ =$
(diameter)/(2)

$\\ r$
$\\ =$
(20)/(2)
$\\ =$
$\\ 10$

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:

$\\ area$
$\\ =$
$\pi$
r^(2)

Where "r' is the radius of circle

We have to find area in terms of pi

area =
$\pi (10)^(2)$

$area = \pi$ ×
×

$area = 100\pi$

Thus area of circular pipe in terms of pi is found as
$100\pi$ square centimeter