Question

Can somebody help me with this!?

Answer 1

24
`\pi`/5

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
`\pi`). 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
`\pi`

= 2/15 × 36
`\pi`

= 72
`\pi`/15

= 24
`\pi`/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.