can you guys check if this is correct?
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"the cross- sectional area of a circular duct is 226.865 square inches. what would be the diameter of the duct"
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A= pi(r^2) = 226.865 in^2
r= sqrt [ 226.865/ pi ]
r = 8.497845
d = 2r
= 17
the diameter is 17 inches
Right. I get 17 inches also.
ok thanks
To check if the given answer is correct, let's walk through the steps mentioned in the explanation:
1. The formula to calculate the area of a circle is A = πr^2, where A represents the area and r represents the radius of the circle, given that the duct is circular.
2. In the given problem, the area of the circular duct is given as 226.865 square inches.
3. To find the radius, isolate r in the formula A = πr^2.
r = √(226.865/π)
4. Using a calculator, we find that r is approximately 8.497845.
5. Finally, to find the diameter of the circular duct, multiply the radius by 2.
d = 2r
= 2 * 8.497845
≈ 16.99569
6. Rounding off to the nearest whole number, we get the diameter as 17 inches.
Therefore, according to the given calculations, the diameter of the duct is indeed 17 inches.