A circle is drawn through the vertices of a square with sides of 5 inches. If a dart is thrown at random into the circle, what is the probability it will NOT lie in the square. Use pythagoreean theorem to find the radius of the circle.

Question

A circle is drawn through the vertices of a square  with sides of 5 inches. If a dart is thrown at random into the circle, what is the probability it will NOT lie in the square. Use pythagoreean theorem to find the radius of the circle.

anonymous · Answer

probability = 1 - 25/pi*50 = 1 - 1/2pi = (2 pi -1 ) /2pi

anonymous · Answer

can u draw it out

anonymous · Answer

diameter of cirlcle = sqrt (5^2 + 5^2) = sqrt50 
area of the circle = pi * (sqrt50/2)^2 sq ins
area of square = 25 sq ins
area not in square =  pi * (sqrt50/2)^2  - 25
probability that dart is not in square 

 =  [pi * (sqrt50/2)^2  - 25] / pi * (sqrt50/2)^2

anonymous · Answer

jimmyrep did it for me :P

anonymous · Answer

soo whats the answer

anonymous · Answer

i told you the answer already 
Ans = 1 - (1/2pi )