To find the circumference and area of a circle, you 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 that the radius \( r \) is \( 4.5 \) cm and using \( \pi \approx 3.14 \):
Calculation of Circumference:
\[ C = 2 \cdot 3.14 \cdot 4.5 \] \[ C = 6.28 \cdot 4.5 \] \[ C = 28.26 \text{ cm} \]
When rounded to the tenth place, the circumference is: \[ C \approx 28.3 \text{ cm} \]
Calculation of Area:
\[ A = 3.14 \cdot (4.5)^2 \] \[ A = 3.14 \cdot 20.25 \] \[ A = 63.585 \text{ cm}^2 \]
When rounded to the tenth place, the area is: \[ A \approx 63.6 \text{ cm}^2 \]
Summary:
- Circumference: \( \approx 28.3 \text{ cm} \)
- Area: \( \approx 63.6 \text{ cm}^2 \)