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Lunna [17]
3 years ago
14

Building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi m

eters.
What is the area AAA of the cross section of the column?
Give your answer in terms of pi.
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

the area A of the cross section of the column is (81\pi )m^2 .

<u>Step-by-step explanation:</u>

Here we have , building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π, pi meters. We need to find What is the area A of the cross section of the column .Let's find out:

We know that  , Circumference of circle = 2\pi r

⇒ Circumference = 2\pi r

⇒ 18\pi= 2\pi r

⇒ \frac{18\pi}{2\pi }= \frac{2\pi r}{2\pi }

⇒ \frac{18\pi}{2\pi }=r

⇒ r=9

We know that area of circle = \pi r^2

⇒ Area= \pi r^2

⇒ Area= \pi 9^2

⇒ Area= 81\pi

Therefore , the area A of the cross section of the column is (81\pi )m^2 .

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