Question

prove that the diameter is the largest chord in a circle

Please fast​

Answer 1

Answer:

proof

Step-by-step explanation:

Proof that the Longest chord of a circle is its Diameter: 

 

Draw circle O and any chord AB on it.

From one endpoint of the chord, say A, draw a line segment through the centre. That is, draw a diameter.

Now draw a radius from centre O to B.

By the triangle inequality, 

 

AB < AO + OB = r + r = 2r = d

So, any chord that is not a diameter will be smaller than a diameter.

So the largest chord is a diameter