Bertrand Paradox - Second Method

Given a Circle, What is the probability to draw a chord larger than the length of an equilateral triangle inscribed in the circle.
Method II - All chords perpendicular to given diameter
Seems like the answer should be [math]\frac{1}{2}[/math][br]Wait a minute, is this the same value we got trying the [url=https://beta.geogebra.org/m/W3av3g5n#material/zGNYbyYW]previous method[/url]?[br]Now move on to the [url=https://beta.geogebra.org/m/W3av3g5n#material/bqECsYGV]next method[/url].

Information: Bertrand Paradox - Second Method