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.

Radius Circumference Area
279 in. 1__ in. 2__ in squared.

1 answer

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

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

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

Given that the radius \( r = 279 \) inches and substituting \( \pi \) with 3.14, let's calculate:

Circumference

\[ C = 2 \times 3.14 \times 279 \]

Calculating step-by-step: \[ C = 6.28 \times 279 \] \[ C \approx 1755.12 , \text{inches} \]

Area

\[ A = 3.14 \times (279)^2 \]

Calculating \( 279^2 \): \[ 279^2 = 77841 \]

Now, substituting back into the area formula: \[ A = 3.14 \times 77841 \] \[ A \approx 244,600.34 , \text{inches squared} \]

Final Table

So, the completed table looks like this:

| Radius | Circumference | Area | |---------|------------------|---------------| | 279 in. | 1755.12 in. | 244,600.34 inĀ²|