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A point P is randomly selected from the square region with vertices at (2,2), (2,0), (0,2), (0,0). What is the probability that P is within one unit of the origin? Express your answer as a common fraction in terms of pi.

 Apr 23, 2022
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The square has aside of 2....it's area  =  2^2  = 4

 

We can construct a circle wih a radius of 1  centered at the origin

 

The area of the circle that is  inside the square =   pi / 4

 

The probability   is : area inside the quarter circle / area of the square =       pi/4 / 4   =    (1/16) pi

 

cool cool cool

 Apr 23, 2022

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