Question

Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the circle

Answer 1

zero. the point is chosen inside the circle, which means it is not outside the circle

Answer 2

thanks!

Answer 3

it that really the question? i was kinda hoping you wrote it wrong

Answer 4

wait. it says the answers taht are possible for this question are A.) 1-1/2pie B.) 1-2/pie
C.) 1-Pie/2 or D.) 1-1/4pie

Answer 5

Is it possible to draw a diagram

Answer 6

I messed up the question. that last word should say square not circle

Answer 7

Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the (square)-is this correct

Answer 8

Yes!

Answer 9

Were you given units-dimensions

Answer 10

no:/

Answer 11

Something like this
So to solve this problem you need to find the ratio of the areas

Answer 12

The diameter of the circle is the same as the diagonal on the square right?

Answer 13

Im so lost...

Answer 14

but UnkleRhaukus the square could be any size

Answer 15

The area of the circle is\[A_c=\pi r^2\]or\[A_c=\pi(d/2)^2\]
The area of the square is \[A_s=s^2\]

Answer 16

and the diagonal on the square is\[d=\sqrt{s^2+s^2}\]

Answer 17

The area of the circle
\[A_c=\pi \left( \frac{d}{2} \right)^2=\pi\left(\frac{\sqrt{2s^2}}{2}\right)^2=\pi \frac{s^2}{2}\]

Answer 18

So we have the formula for the area of the square and the area of the circle, both as functions of the same variable 's'.
To find the portion of the circle covered by the square simple divide; A_s / A_c

Answer 19

the probability that the point P is not in this area but in the circle is \[1-\frac{A_s}{A_c}\]
and you should get one of the options A,B,C,or D.
i wont say which it is but i have one of those as my final answer.
If i haven't explained this well let me know.