Final answer:
Using the formula A = πr² for the area of a circle with a radius of 40 cm, the calculated area is approximately 5026.5488 cm². Thus, the closest answer to the circle's area from the given options is 5,027 cm² (option D).
Step-by-step explanation:
To find the area of a circle, we use the formula A = πr², where A represents the area and r is the radius of the circle. Given a radius of 40 cm, we plug this value into the formula to calculate the area:
A = π(40 cm)²
= π(1600 cm²)
= 3.1415927 × 1600 cm²
≈ 5026.5488 cm²
When we look at the answer options, option D. 5,027 cm* (assuming it means 5,027 cm²) is closest to our calculation. It's common to round the area to a reasonable number of significant figures, but for this question, we are looking for the closest answer from the given options.