Question

If two tangents inclined at an angle of 60º are drawn to a circle of radius 5 cm, then the length of each tangent is :

• A. $\frac{5\sqrt{3}}{2} \, \text{cm}$
• B. 10 cm
• C. $\frac{5}{\sqrt{3}} \, \text{cm}$
• D. $5\sqrt{3} \, \text{cm}$

Answer 1

Answer: (D)

$5\sqrt{3} \, \text{cm}$

Answer 2

Using the geometry of tangents:
$Length of tangent = r \sqrt{3}$
Substitute $r = 5 \, cm$:
$Length = 5 \sqrt{3} \, cm$