Question

http://prntscr.com/b0pfm0

Alright, so this is what I've calculated so far.

The area of sector is 56.791

I then drew a triangle with angles 60 degrees, 120 degrees, and 90 degrees based off of this v
http://prntscr.com/b0pgdh

However, I don't have any sides to use trigonometric functions like sine, cos, or tan and I'm not sure how to continue now.

Answer 1

@zepdrix

This is what I got

Answer 2

Ooo the area of your sector looks pretty far off..
hmm what happened there?

Answer 3

Area of the full circle is \(\large\rm \pi \cdot 24^2\)
Since we're taking a portion of that circle, namely 120 of the total 360 degrees,
we'll multiply by 120/360.

So the area of our sector is \(\large\rm \frac{120}{360}\pi\cdot 24^2\)

Answer 4

Which should simplify down to 192pi.
Notice that all of your options include the pi symbol.
So we DO NOT want to use 3.14 for our pi this time.

Answer 5

Me and my mistakes.

SIGH

Oh well, learning process.

Alright, I recalculated and got the same answer as you.

What's step 2 (the triangle process)

Answer 6

You can create a 30/60/90 triangle by cutting the big one right down the middle.

Answer 7

We have special relationship for the sides of a 30/60/90.
Do you remember what those are? :)

Answer 8

Yes!

Though I'm a bit confused where the 30 and 24 came from.