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A point is randomly selected from the triangle with vertices at (0,0),(2,0) and (0,3). What is the probability that the point is within one unit of (0,0)? Express your answer in terms of π.

Please do not show the answer to the problem. I just need a little help as to how to start the problem.

 Jul 25, 2016

Best Answer 

 #1
avatar+23247 
+10

A hint:  

1)  Draw the picture of the triangle and the circle; then, modify the circle to include only the area of the circle that is within the triangle

2)  Find the area of the triangle.

3)  Find the area of the circle; now modify this area to be only that part that is within the triangle.

4)  Divide the answer to step 3 by the answer to step 2.

 Jul 26, 2016
 #1
avatar+23247 
+10
Best Answer

A hint:  

1)  Draw the picture of the triangle and the circle; then, modify the circle to include only the area of the circle that is within the triangle

2)  Find the area of the triangle.

3)  Find the area of the circle; now modify this area to be only that part that is within the triangle.

4)  Divide the answer to step 3 by the answer to step 2.

geno3141 Jul 26, 2016

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