Complete the table by finding the circumference and area of a circle with a radius of 279 inches. Substitute 3.14 for pi. Express your answers to the hundredths place.(1 point) Radius Circumference Area 279 in. _in. _in.^2

1 answer

To find the circumference and area of a circle with a radius of 279 inches using \( \pi \approx 3.14 \), we can use the following formulas:

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

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

Now, substituting \( r = 279 \) inches and \( \pi = 3.14 \):

Step 1: Calculate the Circumference

\[ C = 2 \times 3.14 \times 279 \] \[ C = 6.28 \times 279 \] \[ C = 1757.72 \text{ in.} \]

Step 2: Calculate the Area

\[ A = 3.14 \times (279)^2 \] First, calculate \( 279^2 \): \[ 279^2 = 77841 \] Now substitute: \[ A = 3.14 \times 77841 \] \[ A = 244832.94 \text{ in.}^2 \]

Final Results

Now, we can complete the table with the calculated values:

| Radius | Circumference | Area | |----------------|---------------|---------------| | 279 in. | 1757.72 in. | 244832.94 in.^2|

So, the completed table is:

  • Radius: 279 in.
  • Circumference: 1757.72 in.
  • Area: 244832.94 in.^2