UNSTOPPABLE12 wrote:
Bunuel Hi could you please enlighten us with a solution for this problem
I thought that the distance between the two endpoints of a diameter are the lengthiest points in a circle, thus max case would be for r=1 thus A= π and all the other possible values should be 0<A<=π
Have I misunderstood the problem?
Hey
UNSTOPPABLE12,
If the given points are not the points of diameter, then the diameter will be even longer, making the area greater.
In other words, if a chord that is not the diameter of a circle is x, then the diameter should be surely greater than x. So the area will be greater than pi in such cases.
PS: If you are still unable to visualize the concept, I suggest that you draw two rough circles; one with given points as diameter and other with given points are chords, and see how area increases.
Cheers!