+0  
 
+1
74
4
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Find the probability

 

 Jul 31, 2020
 #1
avatar+1035 
+8

To do this, let's find the area of the triangle and the circle.

 

Triangle:

bh(1/2)=A

b=8

h=4

32(1/2) = 16

 

Circle:

pi(r^2)=A

pi(16)=A

Area = 16pi

 

Probability: 16/16pi = 1/pi 

 

 

:)

 Jul 31, 2020
edited by ilorty  Aug 1, 2020
 #2
avatar
+1

ilorty:  How many triangles are there and what is their combined area?

 Aug 1, 2020
 #4
avatar+1035 
+7

oops, I did not see that! Silly me...

ilorty  Aug 1, 2020
 #3
avatar+31085 
+3

The red triangle has area (1/2)*8*4 = 16 cm2.

 

The circle has area pi*42 = 16pi cm2

 

Hence probability that oint lis in red triangle = 16/(16pi) = 1/pi;

 Aug 1, 2020
edited by Alan  Aug 1, 2020

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