To find the circumference and area of a circle, we can use the following formulas:
-
Circumference (C) of a circle:
\[ C = 2 \pi r \] where \( r \) is the radius. -
Area (A) of a circle:
\[ A = \pi r^2 \]
Given the radius \( r = 279 \) inches and substituting \( \pi = 3.14 \):
Step 1: Calculate the Circumference
\[ C = 2 \times 3.14 \times 279 \]
Calculating this:
\[ C = 6.28 \times 279 = 1755.12 \text{ inches} \]
Step 2: Calculate the Area
\[ A = 3.14 \times (279)^2 \]
Calculating \( (279)^2 \):
\[ (279)^2 = 77841 \]
Now substituting back into the area formula:
\[ A = 3.14 \times 77841 \approx 244516.34 \text{ square inches} \]
Summary
- Circumference: \( 1755.12 \) inches
- Area: \( 244516.34 \) square inches
Here's the completed table:
| Measurement | Value | |-------------------|-------------------| | Circumference | 1755.12 inches | | Area | 244516.34 square inches |