Question

Please tell me what i did wrong...
Find the area of the shaded portion. Show all work for full credit.
https://wca.sooschools.com/media/g_geo_ccss_2016/8/groupi60.gif
Area of sector= Ø/360 x πr²
Where Ø is central angle r is radius
Area of shaded region = area of triangles - area of sector
So length of tangent = 6/tan 30
=10.4
area of triangle = 1/2 x 10.4 x 6
=31.2
Area of sector = 120/360 x 3.14 x 6²
=37.7
Area of shaded region=2 x 31.2
=24.7

Answer 1

@Vocaloid

Answer 2

I got all that and came out with the same answer of 24.7. Maybe its the rounding of it???

Answer 3

idk, perhaps they want the answer in terms of pi? :S

Answer 4

yea that's probably it

Answer 5

How would I put it in terms of pi... I dont mean to sound completely stupid. I feel like my brains fried though :(

Answer 6

You would do the area of area of sector equation but do not apply pie into it.

\(\large\bf{A=\frac{120}{360} \times 6^{2}}\)

Once this is simplified you apply pi (but as it's symbol)

\(\large\bf{A=12 \pi}\)

Answer 7

My teacher told me this was what was wrong with it. I really dont even know how to fix it...
the triangle would be 30-60-90 triangle for each half there is nothing with tan Not sure where the 10.4 came from try it again

Answer 8

Yes it is 30-60-90 so it would set up as wanting to know the tangent so we have.....



We see we know adjacent but not the opposite so we do in fact apply tangent ratio. Thus having \(\bf{\tan 60 = \frac{x}{6}}\) where we get \(\bf{10.4}\)...I find that to be right...

Answer 9

I wonder why shes saying its wrong then.. Idk im so confused. I've worked so hard on all of it all weekend just for her to say most of my work i did do was wrong.

Answer 10

I honestly don't know, I think this is correct.

Answer 11

I posted another one.. Could u just look it over and see if u see anything wrong with it?? I'm just trying to find out if theres anyway to fix the things she is saying are wrong.