To complete the table, let's calculate the circumference and area of a circle with a radius of 3 feet using \( \pi \approx 3.14 \).
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Circumference: The formula for the circumference (C) of a circle is given by: \[ C = 2\pi r \] Substituting the values: \[ C = 2 \times 3.14 \times 3 = 18.84 \text{ feet} \] When rounding to the tenths place, the circumference is: \[ C \approx 18.8 \text{ feet} \]
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Area: The formula for the area (A) of a circle is given by: \[ A = \pi r^2 \] Substituting the values: \[ A = 3.14 \times (3^2) = 3.14 \times 9 = 28.26 \text{ square feet} \] When rounding to the tenths place, the area is: \[ A \approx 28.3 \text{ square feet} \]
Now we can fill in the table:
| Radius | Circumference | Area | |--------|---------------|---------| | 3 ft. | 18.8 ft. | 28.3 ft² |