High School

Find the area of the circle. Use [tex]3.14[/tex] for pi and round to the nearest tenth.

Diameter = 18 inches

Area = _______ in²

A. 254.3
B. 1017.4
C. 35.8
D. 28.3

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.