Complete the table by finding the circumference and area of a circle with a radius of 3 feet. Substitute 3.14 for pi. Express your answers to the tenths place.(1 point)

The table displays the circumference and area of a circle with a given radius of 3 feet.
Radius Circumference Area
3 ft.  ft.  ft.2

1 answer

To find the circumference and area of a circle with a radius of 3 feet, we use the following formulas:

  1. Circumference (C): \[ C = 2 \pi r \] where \( r \) is the radius and \( \pi \) is approximately 3.14.

  2. Area (A): \[ A = \pi r^2 \]

Now, substituting the radius \( r = 3 \) feet and \( \pi = 3.14 \):

Circumference Calculation:

\[ C = 2 \times 3.14 \times 3 = 6.28 \times 3 = 18.84 \text{ feet} \]

Area Calculation:

\[ A = 3.14 \times (3^2) = 3.14 \times 9 = 28.26 \text{ square feet} \]

Now, rounding these to the tenths place:

  • Circumference: 18.8 feet
  • Area: 28.3 square feet

So the completed table is:

| Radius | Circumference | Area | |--------|---------------|----------| | 3 ft. | 18.8 ft. | 28.3 ft² |