Question

The distance of a chord of length 16 cm from the centre of a circle of radius 10 cm is

• A. 5
• B. 6
• C. 7
• D. 8s

Answer 1

The correct option is B 6

R.E.F image

chord length $AB=16cm$

$AB=2AC=16$

$\Rightarrow AC=8$

Circle radius $=OA=10cm$

By Pythagoras theorem

$O{C}^2+A{C}^2=O{A}^2$

$\Rightarrow OC=\sqrt{O{A}^2-A{C}^2}$

$=\sqrt{{10}^2-8^2}=6$

$\therefore$ Distance of chord from center $=6cm$