What is the probability that a randomly chosen point lies in the shaded region? (leave the answer as a fraction and leave pi in your answer)

Question

anonymous · Answer

area of shaded region divided by total area

anonymous · Answer

|dw:1335835348734:dw|

anonymous · Answer

the triangle is shaded

anonymous · Answer

ok so the area of the circle is easy enough right? since the radius is 5 the area is $\pi\times 5^2=25\pi$

anonymous · Answer

Yes, I have that so far.

anonymous · Answer

and  you have two triangles both with base 5 and height 5 so the total area of the two triangles is 
$5\times 5=25$

anonymous · Answer

take the ratio to get your answer

anonymous · Answer

So then isn't it just one..

anonymous · Answer

oh no the areas  are not the same

anonymous · Answer

your shaded region has area 25, total circle has area $25\pi$

anonymous · Answer

oh wait never mind... so it's 25pi over 25?

anonymous · Answer

no other way around
shaded area over total area

anonymous · Answer

so 25 over 25pi?

anonymous · Answer

don't forget probability is a number between 0 and 1
right
cancel the 25

anonymous · Answer

1pi? hahha

anonymous · Answer

$\frac{25}{25\pi}=\frac{1}{\pi}$

anonymous · Answer

not $1\pi$ but rather $\frac{1}{\pi}$

anonymous · Answer

Okay thank you!

anonymous · Answer

yw