Homework Help

Find the probability that a point chosen at random in the figure lies in the shaded...

user profile pic

chihuahuadog12 | Student, Grade 10 | (Level 3) eNoter

Posted April 6, 2013 at 7:32 PM via web

dislike 0 like

Find the probability that a point chosen at random in the figure lies in the shaded region. 

 

Figure:

http://www.flickr.com/photos/93084714@N07/8624620295/

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 6, 2013 at 7:38 PM (Answer #1)

dislike 1 like

The figure is that of a square with side 10 cm in which lie two semi-circles with radius 5 cm. The area of the shaded region is the difference of the area of the square and that of the circle. This is equal to `10^2 - pi*5^2` .

The probability that a random point chosen in the figure lies in the shaded area is the ratio of the area of the shaded region divided by the area of the square. This is `(10^2 - pi*5^2)/100 ~~ 0.2146`

The required probability is approximately 21.46%

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes