If two tangents inclined at an angle of 60° are drawn to a circle of radius 3 cm, then the length of each tangent is:
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Question

If two tangents inclined at an angle of 60° are drawn to a circle of radius 3 cm, then the length of each tangent is:

Accepted Answer

Using trigonometry in the right triangle, half of the angle is 30°. $	an(30^\circ) = \frac{	ext{Radius}}{	ext{Length}} = \frac{3}{L} \Rightarrow \frac{1}{\sqrt{3}} = \frac{3}{L} \Rightarrow L = 3\sqrt{3}$ cm.

Circles

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