Question

In a circle of radius 25 cm, a chord is drawn at a distance of 7 cm from the centre. Find the length of the chord

• A. 24 cm
• B. 48 cm
• C. 50 cm
• D. 36 cm

Answer 1

The correct option is B 48 cm

Given ,$OD=7cm,OB=25cm$
Since $OD\perp BC,itbisectsBC,i.eBD=DC$
In $△OBD,$
$B{D}^2=O{B}^2-O{D}^2={25}^2-7^2=625-49=576$
$\Rightarrow BD=\sqrt{576}=24$
$\therefore ChordBC=2\times 24cm=48cm$