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 π (pi) ≈ 3.14, we can use the following formulas:

  1. Circumference (C) = 2 * π * r
  2. Area (A) = π * r²

Where \( r \) is the radius.

Step 1: Calculate the Circumference

Using the formula for circumference: \[ C = 2 \times 3.14 \times 279 \] \[ C = 6.28 \times 279 \] \[ C = 1757.32 , \text{inches} \]

Step 2: Calculate the Area

Using the formula for area: \[ A = 3.14 \times (279)^2 \] Calculating \( (279)^2 \): \[ (279)^2 = 77841 \] Now, calculating the area: \[ A = 3.14 \times 77841 \] \[ A = 241,160.34 , \text{square inches} \]

Final Table

| Radius | Circumference | Area | |--------|---------------|--------------| | 279 in.| 1757.32 in. | 241,160.34 in² |

So, the completed table is as follows:

  • Circumference: 1757.32 inches
  • Area: 241,160.34 square inches