Question

What is the area of triangle ABC if AB is tangent to the circle?

Answer 1

Let D = distance between AB
r= radius of circle
so the formula is:
\[\large A = \frac{ 1 }{ 2 } * D*R\]

Answer 2

and the problematic part is how to find D. You can use trigonometry for that

Answer 3

tan60=D/R

Answer 4

D=sqrt3*3

Answer 5

\[\ \tan 60^o = \frac{ x }{ 3} \]
The value of x = Distance between AB.

Answer 6

\[\frac{ 9\sqrt{3} }{ 2 }\]