Question 16

The area of the circle is 3.14 square inches.

To find the area of a circle, the formula used is A = πr². Given a diameter of 2 inches, the radius r is 1 inch. Substituting into the formula gives A = π(1)², which equals approximately 3.14 square inches.

A) 6.28

This option represents the area of a circle with a radius of 2 inches, as it is calculated using the formula A = πr² where r = 2. Since the question specifies a circle with a diameter of 2 inches, this option is incorrect.

B) 3.14

This option is correct. The area of the circle is calculated as A = π(1)², where the radius is 1 inch. This results in an area of approximately 3.14 square inches, matching the correct answer.

C) 1

This option suggests an area of 1 square inch, which is not correct. The area calculation based on the given diameter does not yield this result, as the area is determined by the radius, which in this case leads to a larger value.

D) 12.56

This option reflects the area of a circle with a radius of 2 inches, calculated using A = π(2)². Since the question specifies a circle with a diameter of 2 inches, this option is incorrect, as it does not match the given parameters.

Conclusion

The correct answer is 3.14 square inches, as it accurately represents the area of a circle with a diameter of 2 inches. All other options either miscalculate the radius or apply incorrect dimensions, thereby failing to reflect the area based on the specified diameter.