Question

Find the area of a circle with diameter 18 in.

Use the value 3.14 for π, and do not round your answer.
Be sure to include the correct unit in your answer.
Options:
A. 0 in²
B. 18 in²
C. 18π in²
D. 9 in²

Answer 1

The area of a circle with a diameter of 18 inches using 3.14 for π is 254.34 in². The provided options do not include the correct answer; the given options seem to be incorrect.

Step-by-step explanation:

To find the area of a circle with a given diameter, you can use the formula: A = πr², where π (pi) is approximately 3.14 for this calculation, and 'r' is the radius of the circle.

First, you need to find the radius of the circle which is half of the diameter. Given that the diameter is 18 in, the radius 'r' would be 18 in / 2 = 9 in.

Now, using the formula, plug in the value of the radius:

A = 3.14 × (9 in)²

A = 3.14 × 81 in²

A = 254.34 in²

So, the area of the circle with a diameter of 18 inches using 3.14 for π is 254.34 in², which is not one of the options provided. The closest approximate option given is C. 18π in², which simplifies to approximately 18×3.14 in² = 56.52 in², which is still not correct. There appears to be an error in the provided options.