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An engineer is planning a new water pipe installation. The circular pipe has a diameter of
d=20cm.
What is the area
A of the circular cross section of this pipe?
Give your answer in terms of pi.

An engineer is planning a new water pipe installation. The circular pipe has a diameter of $d=20 \mathrm{~cm}$ . $\newline$ What is the area $A$ of the circular cross section of this pipe? $\newline$ Give your answer in terms of pi. $\newline$ $A=\square$ $cm^{2}$

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Find the radius or diameter of a circle

Full solution

Q. An engineer is planning a new water pipe installation. The circular pipe has a diameter of

d=20 \mathrm{~cm}

.

\newline

What is the area

A

of the circular cross section of this pipe?

\newline

Give your answer in terms of pi.

\newline

A=\square

cm^{2}

Circle Area Formula: The formula for the area of a circle is $A = \pi r^2$ , where $r$ is the radius.
Find Radius: First, find the radius of the circle. The radius is half of the diameter, so $r = \frac{d}{2}$ .
Calculate Radius: The diameter $d$ is given as $20\,\text{cm}$ , so the radius $r$ is $20\,\text{cm}$ / $2$ = $10\,\text{cm}$ .
Plug into Formula: Now, plug the radius into the area formula: $A = \pi(10\,\text{cm})^2$ .
Calculate Area: Calculate the area: $A = \pi(100\,\text{cm}^2)$ .
Final Result: The area of the circular cross section is $A = 100\pi \, \text{cm}^2$ .

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