A chord of circle of radius 7cm is 5cm from the centre of the maximum…

A chord of circle of radius 7cm is 5cm from the centre of the maximum possible area of the square?

Correct Answer: Option A

Explanation

From Pythagoras theorem
|OA|² = |AN|² + |ON|²
7² = |AN|² + (5)²
49 = |AN|² + 25
|AN|² = 49 – 25 = 24
|AN| = (sqrt {24})
= (sqrt {4 times 6})
= 2√6 cm
|AN| = |NB| (A line drawn from the centre of a circle to a chord, divides the chord into two equal parts)
|AN| + |NB| = |AB|
2√6 + 2√6 = |AB|
|AB| = 4√6 cm