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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 18π 18 \pi meters.\newlineWhat is the area A A of the cross section of the column? \newlineGive your answer in terms of pi.\newlineA= A=\square m2\mathrm{m}^{2}

Full solution

Q. A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π 18 \pi meters.\newlineWhat is the area A A of the cross section of the column? \newlineGive your answer in terms of pi.\newlineA= A=\square m2\mathrm{m}^{2}
  1. Divide by 22 * pi: Now, divide both sides by 2π2 \pi to solve for rr. \newliner=18π2πr = \frac{18\pi}{2 \cdot \pi}\newliner=9r = 9
  2. Find Area with Radius: Next, we'll use the radius to find the area of the cross section.\newlineArea A=πr2A = \pi \cdot r^2\newlineA=π92A = \pi \cdot 9^2
  3. Calculate Area: Calculate the area.\newlineA=π×81A = \pi \times 81\newlineA=81πA = 81 \pi

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