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

CBSE Class 10 Maths PYQ · Circles · Tangents & All · 2 Marks · March 2024 · Standard

Solve it yourself first — then press or tap Show Solution. Use for previous / next question.

232 Marks · March 2024 · Standard
If two tangents inclined at an angle of $60^{\circ}$ are drawn to a circle of radius $3 \text{ cm}$, then find the length of each tangent.
Show SolutionHide Solution
Correct Figure
$\angle APO = 30^{\circ}$
$\tan 30^{\circ} = \frac{1}{\sqrt{3}} = \frac{3}{AP}$
$AP = 3\sqrt{3} \text{ cm}$
figure for this question
← Previous questionNext question →