calculate circumference and area of a circle
Check the final answer first, then review the worked steps.
Problem
calculate circumference and area of a circle
Answer
\(Circumference: 56.52 cm, Area: 254.34 cm^2\)
Step-by-step solution
- Identify given information: The radius of the circle is $r = 9 \text{ cm}$. We are instructed to use $\pi = 3.14$.
2. Calculate the circumference: The formula for the circumference of a circle is $C = 2\pi r$. Substituting the given values:
$$C = 2 \times 3.14 \times 9$$
$$C = 6.28 \times 9$$
$$C = 56.52 \text{ cm}$$
3. Calculate the area: The formula for the area of a circle is $A = \pi r^{2}$. Substituting the given values:
$$A = 3.14 \times (9)^{2}$$
$$A = 3.14 \times 81$$
$$A = 254.34 \text{ cm}^{2}$$