On a circumference of circle which radius is 1, two points are chosen randomly. What is the probability that the distance between these two points is less then 1?

majmunomog

majmunomog

Answered question

2022-09-07

Geometric probability; circle and two points
On a circumference of circle which radius is 1, two points are chosen randomly. What is the probability that the distance between these two points is less then 1?

Answer & Explanation

Joaquin Cisneros

Joaquin Cisneros

Beginner2022-09-08Added 4 answers

Explanation:
Say the circle is centered at O and fix one point at P. Let A and B be the two points on the circle at distance 1 from P. A O P = 60 (draw a picture to see the equilateral triangle,) so A O B = 120 , one-third of the circle.

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