+1245 A point $P$ is randomly selected from the square region with vertices at $(\pm 2, \pm 2)$. What is the probability that $P$ is within one unit of the origin? Express your answer as a common fraction in terms of $\pi$.
+9479 Here's a graph for reference: https://www.desmos.com/calculator/nu0suazdzo
side length of square = 4
radius of circle = 1
probability that a point in the square is in the circle
= area of circle / area of square
= ( pi * 12 ) / ( 42 )
= pi / 16
+118677 A point P is randomly selected from the square region with vertices at \((\pm 2, \pm 2) \). What is the probability that P is within one unit of the origin? Express your answer as a common fraction in terms of pi
Area of square = 4*4=16 u^2
Area of circle = \(\pi r^2=\pi*1^2=\pi\;\;units^2\)
Prob that the point will be in the circle = \(\dfrac{\pi}{16}\)
