Find the probability.

Question

A circle with radius 7 cm is drawn at the centre of a rectangle 28 cm long and 22 cm broad. Find probability that a ball hitting the rectangle hits the circle. 

Answer 1

The probability is simply the ratio of the area of the circle to the area of the rectangle.  

Answer 2

The common formula for figuring out a probability is the desired outcome/total number of outcomes. 

 

The desired number of outcomes would be the area of the circle, which is: 

 

pi(radius)^2=A 

 

3.14(7cm)^2 = 153.86

 

The total number of outcomes equals the area of the rectangle, which is: 

 

A= length x width

 

A = 28*22 

 

A = 616cm 

 

Thus, the probability of the ball hitting the circle is: 

 

153.86/616 

 

Hope this helps!