A circle with 2-m radius is inscribed in a square. Find the probability that a dart that hits the square lands in the circular region?

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Please show work! Thankyou!

1 Answer
Apr 25, 2018

#color(blue)(pi/4~~0.785398163)#

Explanation:

The area of the circle is:

#A=pi(2)^2=4pim^2#

The area of the square is:

#A=4xx4=16m^2#

probability of hitting circle is:

#("area of circle")/"area of square"=(4pi)/16=pi/4~~0.785398163#