Answer:
24[tex]\pi[/tex]/5
Step-by-step explanation:
The way I think about areas of sectors is a fraction of the pie. You know what percentage of the "pie" (in this case, circle) you want, because they give you the angle of the sector and you know a circle always has 360°. So technically, you're trying to find 48/360 th of the entire area (36[tex]\pi[/tex]). If you're using a calculator, it doesn't matter if you simplify the fraction, but if you're doing it by hand simplifying makes everything a lot easier.
The equation will be:
Area = 24/180 × 36[tex]\pi[/tex]
= 2/15 × 36[tex]\pi[/tex]
= 72[tex]\pi[/tex]/15
= 24[tex]\pi[/tex]/5
I hope this helped! Also, in Khan Academy, when you get an answer wrong/right, you can view their explanation by clicking "hint" or sometimes "see how we did it" shows up.
