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... | VSA 2m | Maths | SuperPadhai

Circles > Question

VSA2 marksYear: 2024EasyCBSE Class 10

circlestangentstrigonometry

Question

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.

Solution

1

$Circle with centre O, radius 3 cm, two tangents PA and PB from external point P inclined at 60°$

Circle with centre O, radius 3 cm, two tangents PA and PB from external point P inclined at 60°

+0.5 marks

2

∠ A PO = 30°

+0.5 marks

3

tan 30° = \frac{1}{3} = \frac{3}{A P} \Rightarrow A P = 33

cm

+1 mark

Practice this question interactively with step-by-step AI feedback

Sign up for SuperPadhai