Find the probability that an object falling randomly on the figure will land in the shaded area.

Question

anonymous · Answer

attachment

turingtest · Answer

what is the area of the circle?

anonymous · Answer

314?

turingtest · Answer

about, yes
and what is the area of the triangle?

anonymous · Answer

100

turingtest · Answer

right
so you want the ratio$$\frac{A_T}{A_C}$$that is, the area of the triangle divided by the area of the circle
if you take that number and then multiply by 100 that is your answer as a percentage

anonymous · Answer

$$
\frac{A_T}{A_C}=\frac{r^2}{\pi r^2}=\frac 1{\pi}
$$
So it does not depend on the radius.

anonymous · Answer

alright thank you! (: how would you find the unshaded region? same thing?

turingtest · Answer

same concept
are of unshaded region
---------------------
are of circle

but 
the total probability of the item landing in the circle=probability that it does not land in the shaded are+probability that it does=1

so subtracting the answer you just got from one is the odds that it does not land in the c shaded area

turingtest · Answer

the shaded*

anonymous · Answer

so itd still be the same answer then?

turingtest · Answer

no it would be 1-(previous answer)

turingtest · Answer

...with (previous answer) in decimal form