Question

Prove that a diameter is the longest cord in a circle​

Answer 1

Step-by-step explanation:

So, the maximum length of the chord AB can be equal to |AO| + |BO|. Now AO and BO are the radii of the circle, hence |AO| + |BO| = 2r = d (diamter of the circle). Hence diameter of the circle represents the longest chord in the circle