To calculate the circumference and area of a circle, we can use the following formulas:
-
Circumference \( C \) of a circle: \[ C = 2\pi r \]
-
Area \( A \) of a circle: \[ A = \pi r^2 \]
Given that the radius \( r \) is 279 inches and using \( \pi \approx 3.14 \), let's do the calculations.
Circumference:
\[ C = 2 \times 3.14 \times 279 \] \[ C = 6.28 \times 279 \approx 1757.32 \text{ inches} \]
Area:
\[ A = 3.14 \times (279)^2 \] First, calculate \( 279^2 \): \[ 279^2 = 77841 \] Now calculate the area: \[ A = 3.14 \times 77841 \approx 243,301.34 \text{ square inches} \]
Completing the Table:
Now we can fill in the table:
\[ \begin{array}{|c|c|c|} \hline \text{Radius} & \text{Circumference} & \text{Area} \ \hline 279 \text{ in.} & 1757.32 \text{ in.} & 243301.34 \text{ in.}^2 \ \hline \end{array} \]
So the final answers are:
- Circumference: 1757.32 in.
- Area: 243301.34 in.²