+0

Help!

0
134
2
+339

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 $\pi$.

Lightning  Mar 31, 2018
#1
+7153
+2

Here's a graph for reference:  https://www.desmos.com/calculator/nu0suazdzo

side length of square  =  4

probability that a point in the square is in the circle

=  area of circle / area of square

=  ( pi * 12 ) / ( 42 )

=   pi / 16

hectictar  Mar 31, 2018
#2
+92760
+2

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 =  $$\dfrac{\pi}{16}$$

Melody  Mar 31, 2018