$P Q$ is tangent to a circle centered at $O$. If the radius of the circle is 5 cm , then the length

Question

$P Q$ is tangent to a circle centered at $O$. If the radius of the circle is 5 cm , then the length of the tangent $P Q$ is\

Professor PC Thomas Classes · Answer

(a): In $	riangle P Q O$,\ $\frac{P Q}{Q O}=\frac{	ext { Base }}{	ext { Perpendicular }}=\cot 30^{\circ}$\ $\Rightarrow P Q=5 	imes \sqrt{3}=5 \sqrt{3} \mathrm{~cm}$\