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An anthropology graduate student measures the floor of a round hut and calculates that it has a circumference of 12.56 yards. What is the floor's area? Use 3.14 for ​. If necessary, round your answer to the nearest hundredth.

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Answer: 12.54 square yards.

Step by Step Explanation:

The area of a circle is the space occupied by the circle in a two-dimensional plane. The formula for the area of a circle is A = πr^2, where r is the radius of the circle12. The radius is half of the diameter, so r = d/2.

To find the area of the floor of the round hut, you need to use the given circumference of 12.56 yards and find the radius first. The circumference of a circle is C = 2πr, so you can solve for r by dividing both sides by 2π:

r = C / 2π

r = 12.56 / (2 * 3.14)

r = 1.998 yards

Then you can use the formula for the area of a circle and substitute r with 1.998:

A = πr^2

A = 3.14 * (1.998)^2

A = 12.54 square yards

If necessary, you can round your answer to the nearest hundredth, which is 12.54 square yards.

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