Question

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

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

Answer 1

The correct option is C $9cm$

OP is perpendicular from the centre of the circle on the chord CD.
From pythagoras theorem:
$O{P}^2=\sqrt{(15{)}^2-(12{)}^2}=9cm$