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Svet_ta [14]
3 years ago
8

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters.

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

A=81\pi\ m^{2}

Step-by-step explanation:

Step 1

Find the radius of the circular cross section

we know that

The circumference is equal to

C=2\pi r

we have

C=18\pi\ m

substitute and solve for r

18\pi=2\pi r

simplify

18=2 r

r=9\ m

Step 2

Find the area of the circular cross section

The area of the circle is equal to

A=\pi r^{2}

we have

r=9\ m

substitute

A=\pi (9)^{2}

A=81\pi\ m^{2}

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