Question

The angle between the tangents drawn from a point P to a circle is ${60}^{\circ }$ and the length of theTangent from the circle $2\sqrt{3}$ units. Then the radius of the circle is

• A. 6
• B. 2
• C. 3
• D. 1

Answer 1

The correct option is B

2

$\theta$=${60}^{\circ }$
$\sqrt{S_{11}}$ = $2\sqrt{3}$
r= ?
$Tan\frac{\theta }{2}$ = $\frac{2}{\sqrt{S_{11}}}$
$\to \frac{1}{\sqrt{3}}$ = $\frac{r}{2\sqrt{3}}$
r=2