circle area and circumference
Check the final answer first, then review the worked steps.
Problem
circle area and circumference
Answer
(a) Area: $36\pi \text{ km}^2$, (b) Circumference: $12\pi \text{ km}$
Step-by-step solution
- Identify the given information: The problem provides a circle with a radius $r = 6 \text{ km}$.
- Calculate the area: The formula for the area of a circle is $A = \pi r^2$. Substituting the given radius, we get $A = \pi (6 \text{ km})^2 = 36\pi \text{ km}^2$.
- Calculate the circumference: The formula for the circumference of a circle is $C = 2\pi r$. Substituting the given radius, we get $C = 2 \cdot \pi \cdot 6 \text{ km} = 12\pi \text{ km}$.