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 calculate the circumference and area of a circle given the radius, we use the following formulas:

  1. Circumference (C):
    \[ C = 2 \times \pi \times r \]

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

Given:

  • Radius (r) = 279 inches
  • \(\pi \) ≈ 3.14

Step 1: Calculate the Circumference

\[ C = 2 \times 3.14 \times 279 \] \[ C = 6.28 \times 279 \] \[ C ≈ 1757.92 \text{ inches} \]

Step 2: Calculate the Area

\[ A = 3.14 \times (279)^2 \] \[ A = 3.14 \times 77841 \] \[ A ≈ 244034.74 \text{ square inches} \]

Final Table

| Radius | Circumference | Area | |----------|---------------|--------------| | 279 in. | 1757.92 in. | 244034.74 in²|

Thus, the completed table is:

  • Circumference: 1757.92 in.
  • Area: 244034.74 in²