Thursday, January 12, 2012

You have a circle with radius r. What is the probability that a point lies more towards the circumference than towards the centre.

Probability of point lying close to circumference would be mean point is in the circle with area from r/2 from center till outside in the figure below it would be in blue part of the circle.

Probability = Area covered by circle from point r/2 towards circumference/ Area of the circle
In the above given circle formula would be = Area of blue circle/ Area of circle
= pi r pow 2/ 4 / pi r 2 = 1/4

1 comment:

Definition of Circle said...

Want to know about circle ? Can any one tell me about Definition of Circle and it's whole properties .Please be here to help for that .