Question

The circle of radius 3cm from a point p which is at a distance of 5cm from the centre of the circle . A tangent is drawn to the circle . Find the length of the tangent.

Answer 1

Step-by-step explanation:

$\\ In \: Triangle \: AOP = > \\ by \: pythagores \: theorem.... \\ {(OP)}^{2} = {(OA)}^{2} + {(AP)}^{2} \\ 25 = 9 + {(ap)}^{2} \\ AP = 4$

$Therefore , \\length \: of \: tangent \: is \: 4cm$