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)

Question

Radius Circumference Area
279 in.
in.
in.^2

Answer 1

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

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

Given a radius of \( r = 279 \) inches and using \( \pi \approx 3.14 \):

Calculating Circumference:

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

Calculating it step by step: \[ C = 6.28 \times 279 = 1757.52 , \text{inches} \]

Calculating Area:

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

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

Now calculate the area: \[ A = 3.14 \times 77841 = 244,423.34 , \text{in}^2 \]

Final Table:

Radius: 279 in.
Circumference: 1757.52 in.
Area: 244,423.34 in²

Now the completed table looks like this:

| Radius | Circumference | Area | |--------|---------------|------| | 279 in.| 1757.52 in. | 244,423.34 in² |