Question

prove that in a circle diameter is the longest chord (with figure).​

Answer 1

Answer:

Given a circle with radius ‘r’ is given, the task is to find the diameter or longest chord of the circle.

Examples:

Input: r = 4 Output: 8 Input: r = 9 Output: 18



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

Step-by-step explanation:

Answer 2

Answer:

the maximum angle subtended by a chord is 90°(no any chord can subtended more than 90° angle)

more the angle subtended more the length of the chord,

ans we know that diameter of a circle always subtendem 90 degree at any point of the circle .

hence proved that diameter is the longest। bird on any circle,

please diagram ap khus bana lena ,

nai jaldi me hu,

thnx for que ,

muje purane din yaad a gye jab ham v math pada krte the