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 :
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 :
Updated On: Dec 12, 2024
- $\frac{5\sqrt{3}}{2} \, \text{cm}$
- 10 cm
- $\frac{5}{\sqrt{3}} \, \text{cm}$
- $5\sqrt{3} \, \text{cm}$
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The Correct Option is D
Solution and Explanation
Using the geometry of tangents:
\[Length of tangent = r \sqrt{3}\]
Substitute $r = 5 \, cm$:
\[Length = 5 \sqrt{3} \, cm\]
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