Find theArea of the segment? {HELP}

Question

anonymous · Answer

attachment

anonymous · Answer

I did some multiplying and then i tried adding but i havent gotten any answer thats close to my options. Ignore my scribbles..

anonymous · Answer

Help?

jim_thompson5910 · Answer

what is the area of the circle?

anonymous · Answer

im trying to figure that out. lol but the circle is 360 degrees..

jim_thompson5910 · Answer

use the formula A = pi*r^2 to find the area of the whole circle

anonymous · Answer

3.14r^2

jim_thompson5910 · Answer

in this case r = 24, so 

A = 3.14*24^2

anonymous · Answer

1808.64

anonymous · Answer

i keep getting that number but its wrong..

jim_thompson5910 · Answer

now the sector (ie the pie shaped piece) that is formed from the 120 degree angle is exactly 120/360 = 1/3 of the whole circle area

jim_thompson5910 · Answer

so 1/3 of (area of circle) = (1/3)*1808.64 = 602.88

jim_thompson5910 · Answer

what is the area of the triangle?

anonymous · Answer

idk

jim_thompson5910 · Answer

now you use this formula

A = (1/2)*b*c*sin(theta)

b and c are the two sides
theta is the angle between the two sides b and c

anonymous · Answer

i got the 602.88 part, but now im lost.

anonymous · Answer

i dont know what theta means

jim_thompson5910 · Answer

theta is the angle, in this case it's 120

anonymous · Answer

ok.

jim_thompson5910 · Answer

so you need to evaluate

A = (1/2)*b*c*sin(theta)

A = (1/2)*24*24*sin(120)

A = ???

anonymous · Answer

a=249.4153

jim_thompson5910 · Answer

now subtract that from the area of the sector

anonymous · Answer

249.4153- x = ??

anonymous · Answer

what was the sector?

jim_thompson5910 · Answer

the sector is this region here

|dw:1372712565371:dw|

ie it's the pie-shaped region