Question

Find the distance of a perpendicular from the centre of a circle to the chord if the diameter of the circle is 30 cm and its chord is 24 cm.

• A. $6cm$
• B. $7cm$
• C. $9cm$
• D. $10cm$

Answer 1

The correct option is C $9cm$

In the figure, length of chord $AB=24cm$.

Now, we know that, in a circle, perpendicular from the centre bisects the chord.

$\Rightarrow AP=BP=12cm$

Radius $AO=15cm$

Using pythagoras theorem, $OP=\sqrt{(A{O}^2-A{P}^2)}=9cm$