Question

The radius of a circle whose centre is at (3,5) is 5.The coordinates of the midpoint of the chord is (7,5). Find the length of the chord.No spamming answer soon.

Answer 1

This is pretty simple question if you are able to analyze the situation virtually,

The midpoint of the chord is (7,5)

Centre of the circle is (3,5)

Radius = 5

Distance from the centre to midpoint,

=√(7-3)² + (5-5)²

=√4²

=4 units

Radius of the circle is 5 units

Let the length of half of the chord be x

So,

Applying pythagoras theorem,

x² + 4² =5²

x² +16 =25

x² =9

x=3

Now, the length of the chord is= 3×2

=6 units

Hence, the answer is 6 units