Answer:
[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Step-by-step explanation:
In this problem, we will use the following formula:
- A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angle
Step 1: Plug in for C and r.
- A = [tex](\frac{C}{360} )\pi r^{2}[/tex]
- A = [tex](\frac{36}{360})\pi 2^{2}[/tex]
Step 2: Solve.
- A = [tex](\frac{1}{10})4\pi[/tex]
- A = [tex]\frac{2}{5} \pi[/tex]
Final answer (simplified & exact): [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!
