Question

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

Answer 1

Answer:

The answer is 81pi

Step-by-step explanation:

The circumference is 2*pi*r.  This means the radius has to be 9.  The area of a circle is pi*r^2 so the area is 81pi.

Answer 2

Answer:

196π m²

Step-by-step explanation:

The area (A) of the cross section is calculated as

A = πr² ← r is the radius

The circumference (C is calculated as

C = 2πr = 18π ( divide both sides by 2π )

r = $\frac{18\pi }{2\pi }$ = 9, thus

A = π × 9² = 81π