Question

find the length of the tangent drawn to a circle of the radius 5cm from a point of distance of 13cm from the centre of the circle​

Answer 1

Answer:

Step-by-step explanation:

In this we have given radius = 5 cm and distance of radius from external point. We need to find out length of tangent .we name this triangle AOP OA = 5 cm , OP = 13 cm and angle A = 90° ( by tangent radius theorem ) . So by applying Pythagoras here OP^2 = OA^2 + AP^2 by putting value of these (13)^2 = (5)^2 + (AP)^2 opening square 169 - 25 = AP^2 By subtraction AP^2 = 144 take square root AP = 12 cm