Math, asked by amaysingh1234, 30 days ago

prove that the diameter is the largest chord in a circle

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Answers

Answered by greeshmanthsaikrupa
0

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

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