What is the area of the sector?

Question

hhopke · Answer

attachment

anonymous · Answer

options?

hhopke · Answer

Not multiple choice.

anonymous · Answer

ok
idk then

anonymous · Answer

Oh, hmm...okay

hhopke · Answer

I got 3648/57 pi

hhopke · Answer

Not sure if that's right, though, is the problem.

anonymous · Answer

2280cm is my guess, although im not so sure.

hhopke · Answer

We have to do it in terms of pi.

anonymous · Answer

@jagr2713  will help i hope ._.

misty1212 · Answer

HI!!

misty1212 · Answer

you know the area of the whole circle right?

hhopke · Answer

I know how to find it, if that's what you mean. r=8, so area=64pi

misty1212 · Answer

ok good
now what part of that has been removed?

misty1212 · Answer

hint, the total is $360^\circ$

hhopke · Answer

a sector with degree measure 75

hhopke · Answer

*angle measure 75 degrees

misty1212 · Answer

actually i am making it more complicated than it is

misty1212 · Answer

you don't really need to find the area of the part taken out
you have 
$$\frac{285}{360}$$ of the circle to find the area of

hhopke · Answer

formula is       angle measure
                      _______________   pi r^2
                               360

misty1212 · Answer

so instead of $\pi \times 8^2$ it is $$\frac{285}{360}\times 64\pi$$

hhopke · Answer

right.

misty1212 · Answer

oh so you know it!

misty1212 · Answer

$$\frac{19}{24}\times 64\pi$$ which reduces more i am sure

hhopke · Answer

I had that, but then in the demonstration, the teacher did something goofy where she divided the 360 by the number in the 64 spot. I asked her and she said that you do that every time, no matter what the numbers are.

misty1212 · Answer

she probably just cancelled common factors is all

hhopke · Answer

Okay. Thank you!

misty1212 · Answer

$$\color\magenta\heartsuit$$

hhopke · Answer

So final answer is 152/3 pi

anonymous · Answer

that is what i got