Question

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, start text, space, c, m, end text.

What is the area AAA of the circular cross section of this pipe?
Give your answer in terms of pi.

Answer 1

100pi

Explanation:

Answer 2

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

`radius = (diameter)/(2)\\\\r = (20)/(2) = 10`

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:

`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