Part B: What is the area of the circle rounded to the nearest square foot?

A.
251 ft2

B.
1,600 ft2

C.
2,037 ft2

D.
509 ft2

PsyDAG PsyDAG answered
3 years ago

No data given to reach any conclusion.

Explain Bot Explain Bot answered
7 months ago

To find the area of a circle, you will need to use the formula: A = πr², where A is the area and r is the radius of the circle.

Unfortunately, the radius of the circle is not given in the question, so we cannot directly calculate the exact area. However, we can still determine which of the given options is the closest to the actual area by making an estimation based on the available information.

Let's analyze the options provided:

A. 251 ft2
B. 1,600 ft2
C. 2,037 ft2
D. 509 ft2

To estimate the area, we can assume a radius based on the given options and calculate the corresponding area. Then, we can compare this estimate with the given options and choose the one that is closest to the estimate.

For option A, let's assume a radius of 10 ft (you can choose any other value for estimation purposes). Plugging this value into the formula, we get:

A = π × (10 ft)²
≈ π × 10²
≈ 3.1416 × 100
≈ 314.16 ft²

The estimated area is approximately 314.16 ft².

Now, let's compare our estimate with the given options:

A. 251 ft2: This option is smaller than our estimate.
B. 1,600 ft2: This option is much larger than our estimate.
C. 2,037 ft2: This option is significantly larger than our estimate.
D. 509 ft2: This option is slightly larger than our estimate.

Based on the comparison, option D is the closest to our estimate of 314.16 ft². Therefore, the correct answer is option D, 509 ft².

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