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 can use the following formulas:

  1. Circumference (C): \[ C = 2\pi r \] Where \( r \) is the radius.

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

Given that the radius \( r = 3 \) feet and substituting \( \pi \) with 3.14:

  1. Circumference: \[ C = 2 \times 3.14 \times 3 = 18.84 \text{ ft} \]

  2. Area: \[ A = 3.14 \times (3^2) = 3.14 \times 9 = 28.26 \text{ ft}^2 \]

Now, rounding to the tenths place:

  • Circumference: \( 18.8 \) ft
  • Area: \( 28.3 \) ft²

Here is the completed table:

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