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Answer :
Final answer:
The area of a circle with a diameter of 18 inches is 254.3 in² when using 3.14 for pi and rounding to the nearest tenth, which corresponds to option (a).
Explanation:
To find the area of a circle using the diameter, you can use the formula A = πr², where A is the area of the circle and r is the radius. Given that the diameter of the circle is 18 inches, we first need to find the radius by dividing the diameter by 2, which gives us a radius of 9 inches. Then, we can substitute the radius into the area formula.
Using 3.14 as the value for π (pi), the calculation for the area would be:
A = πr² = 3.14 × (9 in)²
Performing the multiplication, we get:
A = 3.14 × 81 in² = 254.34 in²
Finally, rounding to the nearest tenth gives us an area of 254.3 in², making option (a) the correct answer.
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