To find the circumference and the area of a circle with a radius of 2 inches, we can use the following formulas:
Circumference:
\(\[ C = 2 \pi r \]\)
Area:
\(\[ A = \pi r^2 \]\)
Given:
\(\[ r = 2 \, \text{inches} \]\)
1. Calculate the Circumference:
- First, substitute the radius (2 inches) into the circumference formula:
\(\[ C = 2 \pi \times 2 \]\)
- Simplifying further:
\(\[ C = 4 \pi \]\)
- Using the value of \(\(\pi \approx 3.14159\)\), the circumference can be approximated:
\(\[ C \approx 4 \times 3.14159 \approx 12.56636 \]\)
- Rounding this result to the nearest tenth:
\(\[ \boxed{12.6} \]\)
2. Calculate the Area:
- Substitute the radius (2 inches) into the area formula:
\(\[ A = \pi \times (2)^2 \]\)
- Simplifying further:
\(\[ A = \pi \times 4 \]\)
- Using the value of \(\(\pi \approx 3.14159\)\), the area can be approximated:
\(\[ A \approx 4 \times 3.14159 \approx 12.56636 \]\)
- Rounding this result to the nearest tenth:
\(\[ \boxed{12.6} \]\)
Therefore, the circumference of the circle is \(\(12.6\)\) inches, and the area of the circle is \(\(12.6\)\) square inches.
