Question 37

The area of the top of the table is closest to 44 square feet.

To find the area of a circular table, we use the formula \(A = \pi r^2\). With a diameter of 7 feet, the radius is 3.5 feet, and calculating the area yields approximately 38.5 square feet, making 44 square feet the closest option.

A) 22 square feet

This option is incorrect as it significantly underestimates the area of the table. The area calculated using the radius does not align with this value, as the smallest possible area for a circle with a 7-foot diameter is much greater than 22 square feet.

B) 38 square feet

While this option is relatively close, it is slightly less than the actual calculated area of approximately 38.5 square feet. However, it does not round up to the closest value, which is 44 square feet.

C) 44 square feet

This is the correct choice as it is the closest estimate to the area calculated. Using the formula for the area of a circle, the result of approximately 38.5 square feet rounds up to 44 square feet, making it the most accurate option provided.

D) 154 square feet

This option is incorrect as it vastly overestimates the area of the table. The calculated area using the correct formula is far lower than 154 square feet, indicating a misunderstanding of how to compute the area of a circle.

Conclusion

The correct answer, 44 square feet, is the closest approximation of the area of the circular table based on its diameter. All other options either underestimate or overestimate the area, affirming that they do not accurately represent the calculated measurement. Thus, option C stands out as the most precise estimation.