Given the circle with radius 12, what is the probability of choosing a point inside the triangle?

Question

anonymous · Answer

attachment

anonymous · Answer

Help?

amistre64 · Answer

find the area of the circle; you see that its radius is 12 so fill in the formula:  pi 12^2

amistre64 · Answer

the triangle is tricker; you have to be able to notice that if you split it in half it become a 30-60-90

amistre64 · Answer

the unit 30-60-90 has lengths of 1-sqrt(3)-2 ; so we can scale it to find the lengths for this one to determine area

amistre64 · Answer

2s = 12; when s=6

the height 1*6

base = 6sqrt(3) + 6sqrt(3) = 12sqrt(3)

base*height/2 = area of triangle

12sqrt(3) * 6 = 72 sqrt(3) ... i hope lol

amistre64 · Answer

id venture to say that the probablitiy is; area tri/area circle

12*6sqrt(3)       sqrt(3)
---------- =  ------- perhaps
  12*12pi              2

anonymous · Answer

Wow thank you for explaining, I understand this a lot better. I was confused as to how to find the area of the triangle without having the base and height measurements given to you.

amistre64 · Answer

yeah, its from trig class, alot of memorization in trig ....

anonymous · Answer

I hate trig so much]: I'm terrible at it.