Complete the table by finding the circumference and area of a circle with a radius of 38 feet. Substitute 3.14 for pi. Express your answers to the hundredths place.(1 point)

The table displays the circumference and area of a circle with a given radius of 38 feet.n
Radius Circumference Area
38 ft.
ft.
ft.^2

1 answer

To find the circumference and area of a circle, you can use the following formulas:

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

Given that the radius \( r = 38 \) feet and using \( \pi \approx 3.14 \), we can substitute into the formulas.

  1. Circumference: \[ \text{Circumference} = 2 \times 3.14 \times 38 \] \[ = 2 \times 3.14 \times 38 = 6.28 \times 38 = 238.64 \text{ feet} \]

  2. Area: \[ \text{Area} = 3.14 \times (38^2) \] \[ = 3.14 \times 1444 = 4539.76 \text{ square feet} \]

Now we can complete the table with the calculated values.

| Radius | Circumference | Area | |----------|---------------|----------| | 38 ft. | 238.64 ft. | 4539.76 ft² |

So the completed table is:

  • Circumference: 238.64 feet
  • Area: 4539.76 square feet