Dustin measures the circular floor of a tepee, then calculates that it has a circumference of 15.072 yards. What is the floor's area?

To find the area of the floor, we first need to find the radius of the circle. We know that the formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

Step 1: Solve the formula for r. r = C / (2π)

Step 2: Substitute the given circumference (C = 15.072 yards) into the formula. r = 15.072 / (2π) r ≈ 2.396 yards

Now that we have the radius, we can find the area. The formula for the area of a circle is A = πr².

Step 3: Substitute the radius into the area formula. A = π(2.396)² A ≈ 18.02 square yards

So, the area of the floor is approximately 18.02 square yards.