Question

write the longest chord in the circle​

Answer 1

Answer:

A chord that passes through the center of a circle is called a diameter and is the longest chord.

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Answer 2

Answer:

A chord is a line segment which joins two points on the circumference of a circle, and the longest chord of a circle is the diameter of the circle since the diameter passes through and contains the center of the circle; The longest distance across a circle is through its center.

                          OR

Lets  understand by a example...

A rectangle with side lengths AB=3 and BC=11 is inscribed within a circle, as shown. There are two chords AS¯¯¯¯¯¯¯ of the circle which are bisected by segment BC¯¯¯¯¯¯¯¯. Find the length of the longer such chord

Step-by-step explanation:

Let  S move from B to C on the upper side, and M be the intersection of BC with AS. At S=B, SM/MA=0, after that SM/MA increases, gets to a maximum, then decreases such as at S=C the ratio is 0 once again. As long as AM=AS is attained once, and it is not the maximum, then it is attained twice.