+0  
 
0
247
0
avatar+443 

(a) A regular nonagon (9-sided polygon) is inscribed in a circle as shown below. Three of the 9 vertices are selected at random, and the triangle formed by those three points is drawn. What is the probability that the center of the circle lies inside the triangle? (A successful selection of 3 such points is shown below.)



(b) Generalize part (a): A regular -sided polygon is inscribed in a circle. Three of the  vertices are selected at random, and the triangle formed by those three points is drawn. What is the probability (in terms of ) that the center of the circle lies inside the triangle?

 
Mr.Owl  Nov 13, 2017

18 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.