3 points in a circle

Geometry Level 4

Consider two points: A=(0,0)A=(0,0) which is the center of a unit circle, and B=(0,1)B=(0,1) which lies on that unit circle. Now, you choose a third point CC inside the circle uniformly at random.

What is the probability that you will be able to draw a square such that all three points A,B,CA, B, C lie on two adjacent sides of the square?

Please submit your answer to two decimal places.

×

Problem Loading...

Note Loading...

Set Loading...