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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is
18 pi meters.
What is the area
A of the cross section of the column? Give your answer in terms of pi.

A=◻quad+×^(-x)m^(2)

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is $18 \pi$ meters. $\newline$ What is the area $A$ of the cross section of the column? $\newline$ Give your answer in terms of pi. $\newline$ $A=\square$ $\mathrm{m}^{2}$

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Find the radius or diameter of a circle

Full solution

Q. A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is

18 \pi

meters.

\newline

What is the area

A

of the cross section of the column?

\newline

Give your answer in terms of pi.

\newline

A=\square

\mathrm{m}^{2}

Divide by $2$ * pi: Now, divide both sides by $2 \pi$ to solve for $r$ . $\newline$ $r = \frac{18\pi}{2 \cdot \pi}$ $\newline$ $r = 9$
Find Area with Radius: Next, we'll use the radius to find the area of the cross section. $\newline$ Area $A = \pi \cdot r^2$ $\newline$ $A = \pi \cdot 9^2$
Calculate Area: Calculate the area. $\newline$ $A = \pi \times 81$ $\newline$ $A = 81 \pi$

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