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 calculate the circumference and area of a circle with a radius of 3 feet, we will use the formulas:

  1. Circumference \( C = 2\pi r \)
  2. Area \( A = \pi r^2 \)

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

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 to the tenths place:

  • Circumference: \( 18.8 \) feet
  • Area: \( 28.3 \) square feet

Now, we can complete the table:

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