Question

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

Answer 1

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` ×
`10` ×
`10`

`area = 100\pi`

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