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

Answer:

100pi

Step-by-step 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

$radius = \frac{diameter}{2}\\\\r = \frac{20}{2} = 10$

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

$area = \pi (10)^2\\\\area = \pi \times 10 \times 10\\\\area = 100 \pi$

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