Question

two tangents are inclined to each other at an angle of 60^0 to a circle of radius 3 cm find the length of each tangent

Answer 1

Answer:

The tangent to any circle is perpendicular to the radius of the circle at point of contact.

Let two Tangents originate from point A and touch the circle with centre O at point B & C

Now ABO is a right triangle with angle A as 30° and angle B as 90°

Given OB = 3 = Radius of circle.

Now

AB

OB

= tan 30°

=> AB=

tan30°

OB

=

(1/

3

)

3

=3

3

Similarly, it can be shown that AC=3

3

option D will the answer.

Step-by-step explanation:

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