To find the circumference and area of a circle with a radius of 279 inches, we can use the following formulas:
-
Circumference (C): \[ C = 2 \pi r \]
-
Area (A): \[ A = \pi r^2 \]
Given that the radius (r) is 279 inches and using 3.14 for π:
Calculating Circumference:
\[ C = 2 \times 3.14 \times 279 \]
Calculating: \[ C = 6.28 \times 279 \] \[ C = 1757.32 \text{ inches} \]
Calculating Area:
\[ A = 3.14 \times (279)^2 \]
First, calculate \( (279)^2 \): \[ (279)^2 = 77841 \]
Now substituting back into the area formula: \[ A = 3.14 \times 77841 \] \[ A = 244611.34 \text{ square inches} \]
Summary:
- Circumference: 1757.32 inches
- Area: 244611.34 square inches
Here’s the completed table with the results:
| Radius (inches) | Circumference (inches) | Area (square inches) | |------------------|-------------------------|-----------------------| | 279 | 1757.32 | 244611.34 |