Question

The diagram is not to scale.

Answer 1

Answer:

$|AB|=30$

Step-by-step explanation:

From the diagram,

AO=OC=16 units, all radii of a circle are equal.

BO=OC+BC

BO=16+18

BO=34

A tangent to a circle will always meet the radius at right angles.

We use the Pythagoras Theorem to obtain:

$|AB|^2+|AO|^2=|BO|^2$

$|AB|^2+16^2=34^2$

$|AB|^2+256=1156$

$|AB|^2=1156-256$

$|AB|^2=900$

Take positive square roots to get:

$|AB|=\sqrt{900}$

$|AB|=30$